Question
Multiply polynomial $ \, \color{blue}{ 5x+7+x^2+6 } \, $ by $ \, \color{orangered}{ -3 }$.
Answer
$$ \left( \color{blue}{5x+7+x^2+6} \right) \cdot \left( \color{orangered}{-3} \right) = -3x^2-15x-39 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= x^2+5x+13 \\ Q(x) &= -3 \\ \end{aligned} $$We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \left( x^2+5x+13 \right) \cdot \left( \color{orangered}{-3} \right) &= x^2 \cdot \color{orangered}{-3} + 5x \cdot \color{orangered}{-3} + 13 \cdot \color{orangered}{-3} = \\ &= -3x^2-15x-39 \end{aligned} $$This page was created using
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