Question
Multiply polynomial $ \, \color{blue}{ 4j } \, $ by $ \, \color{orangered}{ -2j^2+j-2 }$.
Answer
$$ \color{blue}{4j} \cdot \left( \color{orangered}{-2j^2+j-2} \right) = -8j^3+4j^2-8j $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{4j} \cdot \left( -2j^2+j-2 \right) &= \color{blue}{4j} \cdot \left( -2j^2\right) + \color{blue}{4j} \cdot j + \color{blue}{4j} \cdot \left( -2\right) = \\ &= -8j^3+4j^2-8j \end{aligned} $$This page was created using
Polynomial Operations Calculator