Question
Multiply polynomial $ \, \color{blue}{ 4x^2 } \, $ by $ \, \color{orangered}{ 3x^2-4x-4 }$.
Answer
$$ \color{blue}{4x^2} \cdot \left( \color{orangered}{3x^2-4x-4} \right) = 12x^4-16x^3-16x^2 $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{4x^2} \cdot \left( 3x^2-4x-4 \right) &= \color{blue}{4x^2} \cdot 3x^2 + \color{blue}{4x^2} \cdot \left( -4x\right) + \color{blue}{4x^2} \cdot \left( -4\right) = \\ &= 12x^4-16x^3-16x^2 \end{aligned} $$This page was created using
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