Factor Setting to Zero

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

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA-REI.B.4B

Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.

• No, (x-2) is  not a factor. The remainder is zero.

• Yes, (x-2) is a factor. The remainder is zero.

• No, (x-2) is  not a factor. There is a remainder. 

Tags

CCSS.HSA.APR.B.2

Find all the zeros, given that f(-3) = 0
f(x) = 2x³+5x²-6x-9

• -1,-3,-3

• -1,-3,3/2

• 3,3,3

• -3,2/3,-1

Tags

CCSS.HSF-IF.C.7C

Find the zeros of the function and graph.
y=(x + 2)(x - 3)(3x - 5)

• x=-2, x=3, x=5/3

• x=2, x=-3, x=-3/5

• x=2, x=-3, x=5/3

• x=-2, x=3, x=5

Tags

CCSS.HSF-IF.C.7C

What are the linear factors of the function?

• (x+7) (x-9)

• (x-7) (x+9)

• (x+7)(x+9)

• (x-7)(x-9)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Which statement about function g is true?

Tags

CCSS.HSA.APR.B.3

Find x if f(x) = 0. 

• 5

• -1

• -5

• -1 and -5

Tags

CCSS.HSF.IF.A.2

Select the 2 rows that represent the zeros of the function.

Tags

CCSS.HSF-IF.C.7D

List the zeros for the function.

• (-4, 0), (1, 0), (5, 0)

• (0, -4), (0, 1), (0, 5)

• (4, 1), (5, 1)

• (4, 0), (2, 0), (6, 0)

Tags

CCSS.HSA.APR.B.3