Write the factored form of the polynomial function with real coefficients, a lead coefficient of 1 , and zeros
of , and 2 .

Ask by Coleman Coles. in the United States

Mar 29,2025

Question

Write the factored form of the polynomial function with real coefficients, a lead coefficient of 1 , and zeros of $$ -3,-1,3 $$, and 2 . $$ y(x)=\square $$

UpStudy AI · Accepted Answer

The polynomial has zeros at $$ x = -3 $$, $$ x = -1 $$, $$ x = 3 $$, and $$ x = 2 $$. This means that each zero gives a factor of the form $$ (x - \text{zero}) $$. Since the zero is $$-3$$, the factor is $$ (x - (-3)) = (x+3) $$, and similarly for the others.

Thus, the factored form of the polynomial is

$$
y(x) = (x+3)(x+1)(x-3)(x-2).
$$
$$ y(x) = (x+3)(x+1)(x-3)(x-2) $$

Write the factored form of the polynomial function with real coefficients, a lead coefficient of 1 , and zeros
of , and 2 .

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Write the factored form of the polynomial function with real coefficients, a lead coefficient of 1 , and zeros of , and 2 .