Question
Multiply polynomial $ \, \color{blue}{ 5x+7+x^2+6 } \, $ by $ \, \color{orangered}{ x }$.
Answer
$$ \left( \color{blue}{5x+7+x^2+6} \right) \cdot \color{orangered}{x} = x^3+5x^2+13x $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= x^2+5x+13 \\ Q(x) &= x \\ \end{aligned} $$We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \left( x^2+5x+13 \right) \cdot \color{orangered}{x} &= x^2 \cdot \color{orangered}{x} + 5x \cdot \color{orangered}{x} + 13 \cdot \color{orangered}{x} = \\ &= x^3+5x^2+13x \end{aligned} $$This page was created using
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