Question
Multiply polynomial $ \, \color{blue}{ 9x-14x+5x-2 } \, $ by $ \, \color{orangered}{ 4x-9x+8 }$.
Answer
$$ \left( \color{blue}{9x-14x+5x-2} \right) \cdot \left( \color{orangered}{4x-9x+8} \right) = 10x-16 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= -2 \\ Q(x) &= -5x+8 \\ \end{aligned} $$We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{-2} \cdot \left( -5x+8 \right) &= \color{blue}{-2} \cdot \left( -5x\right) + \color{blue}{-2} \cdot 8 = \\ &= 10x-16 \end{aligned} $$This page was created using
Polynomial Operations Calculator