Warm up: Factor & List which process(es) you used.

GCF Grouping X-Box Perfect Square Trinomial Difference of Squares

2 236 9x y

2 220x xy y

216 24 9y y

5 10 4 8xy x y

New factoring strategy…

Mc Cheaty Method:

23 4 1x x 23 10 8x x

New factoring strategy…

Mc Cheaty Method:

23 15 12x x

10-6 Solving Equations by Factoring

Objective: To use the zero product property to solve

equations.

Standard 14.0

Question for you…

If I have two numbers whose product is zero, what do we know? One or both of the numbers are zero

Zero Product Property If then a = 0 or b = 0 or a&b = 0 So…

xy=0 means that x=0 or y=0

0a b

Example 1

Solve the equation:

( 3) 0x x

{0, 3}Solution set. Write like this!

Example 2

Solve the equation:

(2 4)( 7) 0a a

{ 2, 7} Solution set. Write like this!

LTT

Solve the equation:

( 8)(2 7) 0p p

7{8, }

2

( 9) 0t t

( 5)(2 3)(2 3) 0n n n {0,9}

3 3{5, , }2 2

Example 3

Solve the equation by factoring:

3 25 34 7b b b

1{0, 7, }

5

Solution set. Write like this!

1. Must Equal Zero

2. Factor Completely

3. Solve

TOOSolve the equation:

3 22 15x x x

{0, 5,3}

25 2 0s s

2 2 1 0x x 5{0, }2

{1}DR

CHALLENGE!Solve the equation:

(3 2)( 3) 14y y y

2{ 4, }

3

Homework

Pg. 598 # 13-29 odd

Golly gee,factoring is fun!!

Let’s Solve equations!

Math is awesome!