Question
Multiply polynomial $ \, \color{blue}{ 5x } \, $ by $ \, \color{orangered}{ 6x^2+8x+6 }$.
Answer
$$ \color{blue}{5x} \cdot \left( \color{orangered}{6x^2+8x+6} \right) = 30x^3+40x^2+30x $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{5x} \cdot \left( 6x^2+8x+6 \right) &= \color{blue}{5x} \cdot 6x^2 + \color{blue}{5x} \cdot 8x + \color{blue}{5x} \cdot 6 = \\ &= 30x^3+40x^2+30x \end{aligned} $$This page was created using
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