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