Question
Multiply polynomial $ \, \color{blue}{ -2w^2 } \, $ by $ \, \color{orangered}{ w^2-4w-2 }$.
Answer
$$ \color{blue}{-2w^2} \cdot \left( \color{orangered}{w^2-4w-2} \right) = -2w^4+8w^3+4w^2 $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{-2w^2} \cdot \left( w^2-4w-2 \right) &= \color{blue}{-2w^2} \cdot w^2 + \color{blue}{-2w^2} \cdot \left( -4w\right) + \color{blue}{-2w^2} \cdot \left( -2\right) = \\ &= -2w^4+8w^3+4w^2 \end{aligned} $$This page was created using
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