Respuesta :

Answer:

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

Step-by-step explanation:

we have

[tex]A(x)=(x-2)(x+7)[/tex]

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

[tex](x-2)(x+7)=0[/tex]

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

[tex](x-2)=0[/tex] ----> [tex]x=2[/tex]

[tex](x+7)=0[/tex] ----> [tex]x=-7[/tex]

therefore

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

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