Question
Multiply polynomial $ \, \color{blue}{ 16x+9x+8x+2 } \, $ by $ \, \color{orangered}{ 8x+9x }$.
Answer
$$ \left( \color{blue}{16x+9x+8x+2} \right) \cdot \left( \color{orangered}{8x+9x} \right) = 561x^2+34x $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= 33x+2 \\ Q(x) &= 17x \\ \end{aligned} $$We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \left( 33x+2 \right) \cdot \color{orangered}{17x} &= 33x \cdot \color{orangered}{17x} + 2 \cdot \color{orangered}{17x} = \\ &= 561x^2+34x \end{aligned} $$This page was created using
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