Question
Multiply polynomial $ \, \color{blue}{ -x^2+5x } \, $ by $ \, \color{orangered}{ 3x^2 }$.
Answer
$$ \left( \color{blue}{-x^2+5x} \right) \cdot \color{orangered}{3x^2} = -3x^4+15x^3 $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \left( -x^2+5x \right) \cdot \color{orangered}{3x^2} &= \left( -x^2\right) \cdot \color{orangered}{3x^2} + 5x \cdot \color{orangered}{3x^2} = \\ &= -3x^4+15x^3 \end{aligned} $$This page was created using
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