Find the product. Simplify your answer. t(-t^2 + 5) ______

Distribute 't': We need to distribute the term 't' to both terms inside the parentheses: -t^2 and +5. t(-t^2 + 5) = t(-t^2) + t(5)Simplify -t^2: Simplify t(-t^2). t(-t^2) = -t * t^2 = -t^3Simplify 5t: Simplify t(5). t(5) = 5tCombine terms: Combine the simplified terms to get the final answer. t(-t^2 + 5) = -t^3 + 5t

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Find the product. Simplify your answer. $\newline$ $t(-t^2 + 5)$

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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

t(-t^2 + 5)

Distribute $t$ : We need to distribute the term $t$ to both terms inside the parentheses: $-t^2$ and $+5$ . $\newline$ $t(-t^2 + 5) = t(-t^2) + t(5)$
Simplify $-t^2$ : Simplify $t(-t^2)$ . $t(-t^2) = -t \times t^2 = -t^3$
Simplify $5t$ : Simplify $t(5)$ . $t(5) = 5t$
Combine terms: Combine the simplified terms to get the final answer. $t(-t^2 + 5) = -t^3 + 5t$