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Find the product. Simplify your answer. $\newline$ $q(2q^2 + 3)$

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Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

q(2q^2 + 3)

Distribute $q$ : Distribute $q$ to both terms inside the parentheses. $q(2q^2 + 3) = q(2q^2) + q(3)$
Simplify $q(2q^2)$ : Simplify $q(2q^2)$ . $q(2q^2) = 2q^3$
Simplify $q(3)$ : Simplify $q(3)$ . $\newline$ $q(3) = 3q$
Combine terms: Combine the simplified terms to get the final answer. $q(2q^2 + 3) = 2q^3 + 3q$

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