Question
Multiply polynomial $ \, \color{blue}{ -4x } \, $ by $ \, \color{orangered}{ -x^2-1 }$.
Answer
$$ \color{blue}{-4x} \cdot \left( \color{orangered}{-x^2-1} \right) = 4x^3+4x $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{-4x} \cdot \left( -x^2-1 \right) &= \color{blue}{-4x} \cdot \left( -x^2\right) + \color{blue}{-4x} \cdot \left( -1\right) = \\ &= 4x^3+4x \end{aligned} $$This page was created using
Polynomial Operations Calculator