Question

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

Answer 1

Answer: a.
`g(x)=x^2-2x-8`

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`