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Find the product. Simplify your answer. $\newline$ $7(4z^2 + 2z)$

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Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

7(4z^2 + 2z)

Distribute $7$ : Distribute the $7$ to both terms inside the parentheses. $7(4z^2 + 2z) = 7 \times 4z^2 + 7 \times 2z$
Multiply $7$ by $4$ z^ $2$ : Multiply $7$ by $4z^2$ . $\newline$ $7 \times 4z^2 = 28z^2$
Multiply $7$ by $2$ z: Multiply $7$ by $2z$ . $\newline$ $7 \times 2z = 14z$
Combine results: Combine the results from the distribution. $\newline$ $7(4z^2 + 2z) = 28z^2 + 14z$

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