Answer:
[tex]P(x)=x^3-x^2-14x+24[/tex]
Step-by-step explanation:
The given zeros are −4 , 2, and 3.
Factor Theorem:
- If a, b and c are the zeros of a polynomial then (x-a) , (x-b) and (x-c) must be the factors. And the polynomial is P(x)=(x-a)(x-b)(x-c)
Using the factor theorem, (x+4), (x-2) and (x-3) are the factors of the polynomial.
Therefore, the polynomial is given by
[tex]P(x)=(x+4)(x-2)(x-3)[/tex]
On simplifying, we get
[tex]P(x)=x^3-x^2-14x+24[/tex]
