Factor and Zero Product Property

• Yes, she factored correctly and then used the zero product property

• No, she didn't factor correctly so the rest of her work is wrong.

• No, she did not set the equation equal to zero before factoring.

What do you check FIRST before you can start factoring?

• If there is a GCF

• What the a value is

• All terms are combined

• Zero Product Property

• (x + 12)(x - 3)

• x = 12 and x = -3

• x = -12 and x = 3

• (x - 9)(x - 4)

What does it mean to "find the zeros" of a quadratic?

• Plug in 0 and solve the expression.

• Factor then set each factor equal to zero and solve to find x-intercepts

• Set the expression equal to zero and solve 

• Factor then set each factor equal to zero and solve to find y-intercepts

Solve for the values of x:
(2x + 5)(5x - 2) = 0

• { -5/2, -2/5 }

• { -5/2, 2/5 }

• { 5/2, 2/5 }

• { 5/2, -2/5 }

Solve for the values of x:

(2x - 1)(x + 4) = 0

• x = 1/2, -4

• x = 1/2, 4

• x = 2, -4

• x = -2 4

5w²-5w=0

• w=0 and w=-1

• w=0 and w=1

• w=1 and w=-1

• w=1 and w=5

30r²+15r=0

• r=15 and r=2

• r=-15 and r=1/2

• r=0 and r=1/2

• r=0 and r=2

Solve

5w²-5w=0

• w=0 and w=-1

• w=0 and w=1

• w=1 and w=-1

• w=1 and w=5

Solve by factoring.

SHOW ALL WORK ON PAPER!

Select all answers that apply:

y² + 6y = 7

• -6

• 7

• -7

• -1

• 1