Question

Here’s the question. Just do either one since I don’t think you’re allowed to do more than one. I just wasn’t able to crop it

Answer 1

1. Given:

The zeros of the polynomial are -4, 3, and 2.

To find the polynomial:

So, the factored form of the polynomial is,

$P(x)=(x+4)(x-3)(x-2)$

Further, it can be simplified as

$\begin{gathered} P(x)=(x^2-3x+4x-12)(x-2) \\ =(x^2+x-12)(x-2) \\ =x^3-2x^2+x^2-2x-12x+24 \\ =x^3-x^2-14x+24_{} \end{gathered}$

Therefore, the polynomial is,

$P(x)=x^3-x^2-14x+24_{}$