Question
Multiply polynomial $ \, \color{blue}{ 8x+4 } \, $ by $ \, \color{orangered}{ 5x+4x }$.
Answer
$$ \left( \color{blue}{8x+4} \right) \cdot \left( \color{orangered}{5x+4x} \right) = 72x^2+36x $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= 8x+4 \\ Q(x) &= 9x \\ \end{aligned} $$We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \left( 8x+4 \right) \cdot \color{orangered}{9x} &= 8x \cdot \color{orangered}{9x} + 4 \cdot \color{orangered}{9x} = \\ &= 72x^2+36x \end{aligned} $$This page was created using
Polynomial Operations Calculator