Question
Multiply polynomial $ \, \color{blue}{ -4x } \, $ by $ \, \color{orangered}{ x^2+6x-7 }$.
Answer
$$ \color{blue}{-4x} \cdot \left( \color{orangered}{x^2+6x-7} \right) = -4x^3-24x^2+28x $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{-4x} \cdot \left( x^2+6x-7 \right) &= \color{blue}{-4x} \cdot x^2 + \color{blue}{-4x} \cdot 6x + \color{blue}{-4x} \cdot \left( -7\right) = \\ &= -4x^3-24x^2+28x \end{aligned} $$This page was created using
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