Question
Multiply polynomial $ \, \color{blue}{ -5t^3 } \, $ by $ \, \color{orangered}{ 6t^7-9t }$.
Answer
$$ \color{blue}{-5t^3} \cdot \left( \color{orangered}{6t^7-9t} \right) = -30t^{10}+45t^4 $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{-5t^3} \cdot \left( 6t^7-9t \right) &= \color{blue}{-5t^3} \cdot 6t^7 + \color{blue}{-5t^3} \cdot \left( -9t\right) = \\ &= -30t^{10}+45t^4 \end{aligned} $$This page was created using
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