Writing Quadratic Functions Given Zeros

The (x+4)(x-6) are the factors of the quadratic function whose zeros are -4 and 6.

• Got it.

• I don't get it.

For x=1 and x=-5, what are the two factors?

• (x-1)(x-5)

• (x+1)(x-5)

• (x-1)(x-5)

• (x-1)(x+5)

What should the resulting function look like?

• f(x)=x²+6x-5

• f(x)=x²-4x-5

• f(x)=x²+4x-5

• f(x)=x²-5

What are the factors for x=-2 and x=-8?

• (x-2)(x+8)

• (x-2)(x-8)

• (x+2)(x+8)

• (x+2)(x-8)

What should the resulting quadratic function be?

• f(x)=x²+16

• f(x)=x²+10x+16

• f(x)=x²+6x+16

• f(x)=x²-10x+16

What should the factors of x=-3 and x=3 be?

• (x-3)(x-3)

• (x+3)(x+3)

• (x+3)(x-3)

What is the resulting function?

• f(x)=x²-9

• f(x)=x²​-6x-9

• f(x)=x²​-6x+9

• f(x)=x²​+6x-9

• f(x)=x²​-6x+9