Question
Multiply polynomial $ \, \color{blue}{ 5y } \, $ by $ \, \color{orangered}{ 3y^2-7y+4 }$.
Answer
$$ \color{blue}{5y} \cdot \left( \color{orangered}{3y^2-7y+4} \right) = 15y^3-35y^2+20y $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{5y} \cdot \left( 3y^2-7y+4 \right) &= \color{blue}{5y} \cdot 3y^2 + \color{blue}{5y} \cdot \left( -7y\right) + \color{blue}{5y} \cdot 4 = \\ &= 15y^3-35y^2+20y \end{aligned} $$This page was created using
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