Question
Multiply polynomial $ \, \color{blue}{ 10x^2-32x+6 } \, $ by $ \, \color{orangered}{ 2x }$.
Answer
$$ \left( \color{blue}{10x^2-32x+6} \right) \cdot \color{orangered}{2x} = 20x^3-64x^2+12x $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \left( 10x^2-32x+6 \right) \cdot \color{orangered}{2x} &= 10x^2 \cdot \color{orangered}{2x} + \left( -32x\right) \cdot \color{orangered}{2x} + 6 \cdot \color{orangered}{2x} = \\ &= 20x^3-64x^2+12x \end{aligned} $$This page was created using
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