Select the correct answer.
What are the zeros of this quadratic function?

f(x) = (x − 7)(x + 8)

A.
x = 0 and x = 7
B.
x = -7 and x = 8
C.
x = 0 and x = -8
D.
x = 7 and x = -8

Respuesta :

The zeros of this quadratic function are (D) x=7 and x=-8.

What is Quadratic Function?

Quadratic function is a relation or expression in which highest power of the variable is 2.

Given the quadratic function is [tex]f(x)=(x-7)(x+8)[/tex]

So the zeros are found by solving [tex]f(x)=0[/tex].

On solving [tex]f(x)=0[/tex] we get,

[tex](x-7)(x+8)=0[/tex]

We know that if the product of two mathematical expression is zero then at least one of them is zero.

Either, [tex]x-7=0\Rightarrow x=7[/tex]

Or, [tex]x+8=0\Rightarrow x=-8[/tex]

Hence the zeros for the given quadratic function [tex]f(x)=(x-7)(x+8)[/tex] are [tex]x=7[/tex] and [tex]x=-8[/tex].

Learn more about Quadratic Function here -

https://brainly.com/question/25841119

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