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