Solve Each Equation and Factor

Solve for x by factoring.
x² -8x +12=0

• x=-6, -2

• x=-2, 6

• x=2, 6

• x=-6, 2

Solve

x² - 9x + 20 = 0

x=​ ​ ​ (a)   ,​ ​ (b)  

• -5

• -4

• 4

• 5

What is the first step in solving 
(x + 2)(x - 3) = 0      ?

• Plug in zero for x

• Solve for x

• FOIL

• Set each binomial factor equal to zero

e

f

g

h

d

c

b

a

4x

44

11

11x

x

4

+

Solve by factoring. SHOW ALL WORK ON PAPER! Select all answers that apply:
y² + 6y = 7

• -6

• 7

• -7

• -1

• 1

Suzie solves the equation below: x^2+4x-12=2 (x-2)(x+6)=2 by setting x-2=0 andx+6=0. Her solutions are x=2 andx=-6. Is Suzie correct? Why or why not?

• 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 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

Which of these is equivalent to 2cos²x − 3cosx = 0 ?

• -cos²x = 0

• cosx(2cosx + 3) = 0

• cosx(2cosx − 3) = 0

• cos x = ⅔

Which is a correct way to solve the equation cosx(2cosx − 3) = 0?

• divide cos x from both sides

• set each factor equal to 0 and solve

• distribute cosx into the parentheses

• guess and hope for the best