Question

The graph is that of a fourth-degree polynomial function. Which of the following correctly shows three factors of the function? Image included, please help!

Answer 1

C.

Observe that the roots of polynomial are $-3,2,5$

We have a polynomial in a factored form,

$(x+3)(x-2)(x-5)$

If you substitute x for any of $-3,2,5$ the product will always equal to zero that is these numbers are roots of polynomial.

Hope this helps :)