Question
Multiply polynomial $ \, \color{blue}{ 5x^3 } \, $ by $ \, \color{orangered}{ 6x-8 }$.
Answer
$$ \color{blue}{5x^3} \cdot \left( \color{orangered}{6x-8} \right) = 30x^4-40x^3 $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{5x^3} \cdot \left( 6x-8 \right) &= \color{blue}{5x^3} \cdot 6x + \color{blue}{5x^3} \cdot \left( -8\right) = \\ &= 30x^4-40x^3 \end{aligned} $$This page was created using
Polynomial Operations Calculator