Question
Multiply polynomial $ \, \color{blue}{ 8x^2-2x-7x^2 } \, $ by $ \, \color{orangered}{ 6x+3x }$.
Answer
$$ \left( \color{blue}{8x^2-2x-7x^2} \right) \cdot \left( \color{orangered}{6x+3x} \right) = 9x^3-18x^2 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= x^2-2x \\ Q(x) &= 9x \\ \end{aligned} $$We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \left( x^2-2x \right) \cdot \color{orangered}{9x} &= x^2 \cdot \color{orangered}{9x} + \left( -2x\right) \cdot \color{orangered}{9x} = \\ &= 9x^3-18x^2 \end{aligned} $$This page was created using
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