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Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.
Copyri
ght
© G
lencoe/M
cG
raw
-Hill
, a d
ivis
ion
of T
he
McG
raw
-Hill
Com
pa
nie
s,
Inc.
NAME DATE PERIOD
Lesso
n 4
-3
4-3
Chapter 4 19 Glencoe Algebra 2
Skills Practice
Solving Quadratic Equations by Factoring
Write a quadratic equation in standard form with the given root(s).
1. 1, 4 2. 6, -9
3. -2, -5 4. 0, 7
5. - 1 − 3 , -3 6. - 1 −
2 ,
3 −
4
Factor each polynomial.
7. m2 + 7m - 18 8. 2x2 - 3x - 5
9. 4z2 + 4z - 15 10. 4p2 + 4p - 24
11. 3y2 + 21y + 36 12. c2 - 100
Solve each equation by factoring.
13. x2 = 64 14. x2 - 100 = 0
15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0
17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0
19. x2 - 6x + 5 = 0 20. x2 - 9x = 0
21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0
23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0
25. NUMBER THEORY Find two consecutive integers whose product is 272.