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

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Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

4(-k^2 + k)

Distribute $4$ : Distribute the $4$ to both terms inside the parentheses. $4(-k^2 + k) = 4(-k^2) + 4(k)$
Simplify $-k^2$ : Simplify $4(-k^2)$ . $\newline$ $4(-k^2) = -4k^2$
Simplify $k$ : Simplify $4(k)$ . $\newline$ $4(k) = 4k$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ The simplified form of $4(-k^2 + k)$ is $-4k^2 + 4k$ .

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