Find the product. Simplify your answer. z(-2z^2 - 4) ______

Distribute z: Distribute z to both terms inside the parentheses. z(-2z^2 - 4) = z(-2z^2) + z(-4)Simplify -2z^2: Simplify z(-2z^2). z(-2z^2) = -2z * z^2 = -2z^3Simplify -4: Simplify z(-4). z(-4) = -4zCombine results: Combine the results from Step 2 and Step 3. z(-2z^2 - 4) = -2z^3 - 4z

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

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Math Problems

Algebra 1

Multiply a polynomial by a monomial

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Q. Find the product. Simplify your answer.

\newline

z(-2z^2 - 4)

Distribute $z$ : Distribute $z$ to both terms inside the parentheses. $z(-2z^2 - 4) = z(-2z^2) + z(-4)$
Simplify $-2z^2$ : Simplify $z(-2z^2)$ . $z(-2z^2) = -2z \times z^2 = -2z^3$
Simplify $-4$ : Simplify $z(-4)$ . $z(-4) = -4z$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $z(-2z^2 - 4) = -2z^3 - 4z$