Question
Multiply polynomial $ \, \color{blue}{ -4x^5 } \, $ by $ \, \color{orangered}{ 11x^3+2x^2+9x+1 }$.
Answer
$$ \color{blue}{-4x^5} \cdot \left( \color{orangered}{11x^3+2x^2+9x+1} \right) = -44x^8-8x^7-36x^6-4x^5 $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{-4x^5} \cdot \left( 11x^3+2x^2+9x+1 \right) &= \color{blue}{-4x^5} \cdot 11x^3 + \color{blue}{-4x^5} \cdot 2x^2 + \color{blue}{-4x^5} \cdot 9x + \color{blue}{-4x^5} \cdot 1 = \\ &= -44x^8-8x^7-36x^6-4x^5 \end{aligned} $$This page was created using
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