Question
Multiply polynomial $ \, \color{blue}{ 3y } \, $ by $ \, \color{orangered}{ 4y^2+2y-5y+2 }$.
Answer
$$ \color{blue}{3y} \cdot \left( \color{orangered}{4y^2+2y-5y+2} \right) = 12y^3-9y^2+6y $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= 3y \\ Q(x) &= 4y^2-3y+2 \\ \end{aligned} $$We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{3y} \cdot \left( 4y^2-3y+2 \right) &= \color{blue}{3y} \cdot 4y^2 + \color{blue}{3y} \cdot \left( -3y\right) + \color{blue}{3y} \cdot 2 = \\ &= 12y^3-9y^2+6y \end{aligned} $$This page was created using
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