Question
Multiply polynomial $ \, \color{blue}{ 4x^2-24x+36 } \, $ by $ \, \color{orangered}{ x }$.
Answer
$$ \left( \color{blue}{4x^2-24x+36} \right) \cdot \color{orangered}{x} = 4x^3-24x^2+36x $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \left( 4x^2-24x+36 \right) \cdot \color{orangered}{x} &= 4x^2 \cdot \color{orangered}{x} + \left( -24x\right) \cdot \color{orangered}{x} + 36 \cdot \color{orangered}{x} = \\ &= 4x^3-24x^2+36x \end{aligned} $$This page was created using
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