Question

What are the zeros of A(x) = (x - 2)(x+ 7)? Select all that apply.

しか
MAX=21
ロロロロ
ロ D.x=7

Answer 1

The zeros of the function are x=-7 and x=2

Explanation:

we have

`A(x)=(x-2)(x+7)`

we know that

The zeros or roots of the function are the values of x when the value of the function is equal to zero (also is called the x-intercepts)

so

For A(x)=0

`(x-2)(x+7)=0`

Remember that

The Zero Product Property states that

if ab = 0, then either a = 0 or b = 0, or both a and b are 0

so

Let

`(x-2)=0` ---->
`x=2`

`(x+7)=0` ---->
`x=-7`

therefore

The zeros of the function are x=-7 and x=2