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