Find a polynomial $$ f(x) $$ of degree 4 that has the following zeros. $$ -9,3,-6,2 $$ Leave your answer in factored form. $$ f(x)=\square $$

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UpStudy AI · Accepted Answer

We are given the zeros of the polynomial:
$$
-9, \quad 3, \quad -6, \quad 2.
$$
This means the factors of $$ f(x) $$ are:
$$
(x - (-9)), \quad (x - 3), \quad (x - (-6)), \quad (x - 2),
$$
which can be simplified to:
$$
(x + 9), \quad (x - 3), \quad (x + 6), \quad (x - 2).
$$
Thus, the polynomial in factored form is:
$$
f(x) = (x + 9)(x - 3)(x + 6)(x - 2).
$$
$$ f(x)=\boxed{(x+9)(x-3)(x+6)(x-2)} $$
$$ f(x) = (x + 9)(x - 3)(x + 6)(x - 2) $$

Find a polynomial of degree 4 that has the following zeros.

Leave your answer in factored form.

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Find a polynomial of degree 4 that has the following zeros. Leave your answer in factored form.