Question
Multiply polynomial $ \, \color{blue}{ -x } \, $ by $ \, \color{orangered}{ -3x^3+2x-1 }$.
Answer
$$ \color{blue}{-x} \cdot \left( \color{orangered}{-3x^3+2x-1} \right) = 3x^4-2x^2+x $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{-x} \cdot \left( -3x^3+2x-1 \right) &= \color{blue}{-x} \cdot \left( -3x^3\right) + \color{blue}{-x} \cdot 2x + \color{blue}{-x} \cdot \left( -1\right) = \\ &= 3x^4-2x^2+x \end{aligned} $$This page was created using
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