Question
Multiply polynomial $ \, \color{blue}{ x^2-2x+1 } \, $ by $ \, \color{orangered}{ -7 }$.
Answer
$$ \left( \color{blue}{x^2-2x+1} \right) \cdot \left( \color{orangered}{-7} \right) = -7x^2+14x-7 $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \left( x^2-2x+1 \right) \cdot \left( \color{orangered}{-7} \right) &= x^2 \cdot \color{orangered}{-7} + \left( -2x\right) \cdot \color{orangered}{-7} + 1 \cdot \color{orangered}{-7} = \\ &= -7x^2+14x-7 \end{aligned} $$This page was created using
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