Multiply polynomial $ \, \color{blue}{ 2x } \, $ by $ \, \color{orangered}{ 5x^2+8x+8 }$.
Answer
$$ \color{blue}{2x} \cdot \left( \color{orangered}{5x^2+8x+8} \right) = 10x^3+16x^2+16x $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{2x} \cdot \left( 5x^2+8x+8 \right) &= \color{blue}{2x} \cdot 5x^2 + \color{blue}{2x} \cdot 8x + \color{blue}{2x} \cdot 8 = \\ &= 10x^3+16x^2+16x \end{aligned} $$This page was created using
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