Question
Multiply polynomial $ \, \color{blue}{ 3x^2-3x-9 } \, $ by $ \, \color{orangered}{ -9x }$.
Answer
$$ \left( \color{blue}{3x^2-3x-9} \right) \cdot \left( \color{orangered}{-9x} \right) = -27x^3+27x^2+81x $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \left( 3x^2-3x-9 \right) \cdot \left( \color{orangered}{-9x} \right) &= 3x^2 \cdot \color{orangered}{-9x} + \left( -3x\right) \cdot \color{orangered}{-9x} + \left( -9\right) \cdot \color{orangered}{-9x} = \\ &= -27x^3+27x^2+81x \end{aligned} $$This page was created using
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