Solve by Factoring

Zero Product Property

If 0, then what must be true?a b

0 or 0a b

Solve by Factoring

4 0 or 6 0x x

Example 1

4 6 0x x

4x 6x

2 3 0 or 7 0x x

Example 2

2 3 7 0x x

2 3x 7x 3

2x

Solve by Factoring

Practice 1

5 12 0x x

Practice 2

10 3 1 0x x

Practice 3

5 4 2 3 0x x

Solve by Factoring

7 0 or 1 0x x

Example 3

2 6 7 0x x

7x 1x

3 2 0 or 5 0x x

Example 4

23 13 10 0x x

3 2x 5x 2

3x

7 1 0x x 3 2 5 0x x

Solve by Factoring

Practice 4

2 5 6 0x x

Practice 5

28 2 3 0x x

Solve by Factoring

7 0 or 7 0x x

Example 52 49x

7x 7x

3 2 0 or 2 5 0x x

Example 6

26 10 19x x

3 2x 2 5x 2

3x

7 7 0x x 3 2 2 5 0x x

2 49 0x 26 19 10 0x x

5

2x

2 0 49 0x x

Solve by Factoring

Practice 6

2 21 10x x

Practice 7

2 81x

Practice 8

24 12 9x x

Solve by Factoring

Example 7 Example 8

2 12 0x x

Solve by graphing.

2 12 0x x

Solve by factoring.

Solve by Factoring

Example 9 Example 10

22 11 6 0x x

Solve by graphing. Solve by factoring.

22 11 6 0x x

Assignment: page 578: 3, 7, 10, 13

page 586: 20, 23, 26

page 597: 23, 27, 34

page 603: 25, 26, 27, 33