Question
Multiply polynomial $ \, \color{blue}{ 4x^2 } \, $ by $ \, \color{orangered}{ 5x^3+4x-1 }$.
Answer
$$ \color{blue}{4x^2} \cdot \left( \color{orangered}{5x^3+4x-1} \right) = 20x^5+16x^3-4x^2 $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{4x^2} \cdot \left( 5x^3+4x-1 \right) &= \color{blue}{4x^2} \cdot 5x^3 + \color{blue}{4x^2} \cdot 4x + \color{blue}{4x^2} \cdot \left( -1\right) = \\ &= 20x^5+16x^3-4x^2 \end{aligned} $$This page was created using
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