Question
Multiply polynomial $ \, \color{blue}{ x^2+x-2 } \, $ by $ \, \color{orangered}{ -7x^2 }$.
Answer
$$ \left( \color{blue}{x^2+x-2} \right) \cdot \left( \color{orangered}{-7x^2} \right) = -7x^4-7x^3+14x^2 $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \left( x^2+x-2 \right) \cdot \left( \color{orangered}{-7x^2} \right) &= x^2 \cdot \color{orangered}{-7x^2} + x \cdot \color{orangered}{-7x^2} + \left( -2\right) \cdot \color{orangered}{-7x^2} = \\ &= -7x^4-7x^3+14x^2 \end{aligned} $$This page was created using
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