Question
Multiply polynomial $ \, \color{blue}{ -2x^3 } \, $ by $ \, \color{orangered}{ 3x^2-4x+7 }$.
Answer
$$ \color{blue}{-2x^3} \cdot \left( \color{orangered}{3x^2-4x+7} \right) = -6x^5+8x^4-14x^3 $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{-2x^3} \cdot \left( 3x^2-4x+7 \right) &= \color{blue}{-2x^3} \cdot 3x^2 + \color{blue}{-2x^3} \cdot \left( -4x\right) + \color{blue}{-2x^3} \cdot 7 = \\ &= -6x^5+8x^4-14x^3 \end{aligned} $$This page was created using
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