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Warm-‐Up Write in Standard Form. Write in Slope Intercept Form.
1.) y = -‐!!x +2 2.) (3, 4) (6, 12)
Simplify
3.)
2x2 yx3 y2 i
4x7 y2
2x3 4.) 27 5.) 18 × 3 32 6.) 5 2 + 3 18
Cop
yrig
ht ©
by
Pear
son
Educ
atio
n, In
c. o
r its
aff
iliat
es. A
ll Ri
ghts
Res
erve
d.
Vocabulary
Chapter 8 222
Adding and Subtracting Polynomials8-1
Tell whether each is an expression or an equation.
1. 3x 2 4 2. 14 5 8 1 6b 3. r6 4. 0 5 1
3x2
Write T for true or F for false.
5. Expressions with only numbers are always like terms.
6. An expression can have an equal sign.
7. Equations can be true, false, or open.
Vocabulary Builder
poly- (prefi x) PAHL ee
Related Words: many, several, polynomial, polygon
Definition: The prefix poly means “many” or “several” and is used to make compound words such as polygon.
Main Idea: Polynomials may contain one or several monomials.
Use Your VocabularyComplete each statement with a word from the list. Use each word only once.
polygon polygraph polynomial
8. A monomial or a sum of monomials is a 9.
9. A 9 test measures many tiny physical reactions of a person who is being questioned in order to determine whether that person is telling the truth.
10. A triangle is one example of a 9.
Review
polynomial
3x2 3xy y2
monomials
3x2, 3xy, y2
Cop
yrig
ht ©
by
Pear
son
Educ
atio
n, In
c. o
r its
aff
iliat
es. A
ll Ri
ghts
Res
erve
d.
Vocabulary
Chapter 8 222
Adding and Subtracting Polynomials8-1
Tell whether each is an expression or an equation.
1. 3x 2 4 2. 14 5 8 1 6b 3. r6 4. 0 5 1
3x2
Write T for true or F for false.
5. Expressions with only numbers are always like terms.
6. An expression can have an equal sign.
7. Equations can be true, false, or open.
Vocabulary Builder
poly- (prefi x) PAHL ee
Related Words: many, several, polynomial, polygon
Definition: The prefix poly means “many” or “several” and is used to make compound words such as polygon.
Main Idea: Polynomials may contain one or several monomials.
Use Your VocabularyComplete each statement with a word from the list. Use each word only once.
polygon polygraph polynomial
8. A monomial or a sum of monomials is a 9.
9. A 9 test measures many tiny physical reactions of a person who is being questioned in order to determine whether that person is telling the truth.
10. A triangle is one example of a 9.
Review
polynomial
3x2 3xy y2
monomials
3x2, 3xy, y2
Classify the Polynomial Polynomial Standard form Leading
Coefficient Degree Classified by
Degree Classified by number of terms
6
-‐2x
3x + 1
2x – x2 -‐ 5
4x3 – 8x
1 – 5x -‐7x3 + 2x4
7x + 3 + 15x3
70x+ 39x2
Adding Polynomials. Find the sum and write the answer in standard form.
1. (6x – x2 + 3) + (4x2 – x – 2)
Try on your own!!
2. ( x2 – x – 4) + ( 2x + 3x2 + 1)
3. (7 + 2x – 4x2) + (-‐3x + x2 – 5) Subtracting Polynomials Find the difference and write the answer in standard form.
4. (5x2 – 4x + 1) – ( 8 – x2) Try on your own!!
5. (-‐x + 2x2) – ( 3x2 + 7x – 2)
6. (x + 7x2) – (1 + 3x – x2)
