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