1. Given:
The zeros of the polynomial are -4, 3, and 2.
To find the polynomial:
So, the factored form of the polynomial is,
[tex]P(x)=(x+4)(x-3)(x-2)[/tex]
Further, it can be simplified as
[tex]\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}[/tex]
Therefore, the polynomial is,
[tex]P(x)=x^3-x^2-14x+24_{}[/tex]
