Question
Multiply polynomial $ \, \color{blue}{ 7x } \, $ by $ \, \color{orangered}{ x^2+6x-5 }$.
Answer
$$ \color{blue}{7x} \cdot \left( \color{orangered}{x^2+6x-5} \right) = 7x^3+42x^2-35x $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{7x} \cdot \left( x^2+6x-5 \right) &= \color{blue}{7x} \cdot x^2 + \color{blue}{7x} \cdot 6x + \color{blue}{7x} \cdot \left( -5\right) = \\ &= 7x^3+42x^2-35x \end{aligned} $$This page was created using
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