If the zeroes of g(x) are -2 and 4 what is g(x)

Question

asked Sep 14, 2020 211k views

1 Answer

Hassan Voyeau · Answer 1 · 2020-09-18T19:53:04+0000

Answer: a.

Explanation:

You know that the zeros of the function g(x) are:

$x=-2\\x=4$

Then, the factored form must be:

(x+2)(x-4)=0

Now, applying the Distributive property:

$(x+2)(x-4)=0\\\\(x)(x)+(x)(2)+(x)(-4)+(2)(-4)=0\\\\x^2+2x-4x-8=0$

Finally, adding the like terms, you get:

x^2-2x-8=0

Therefore, the function g(x) is:

g(x)=x^2-2x-8