Question
Multiply polynomial $ \, \color{blue}{ -6x^4 } \, $ by $ \, \color{orangered}{ 9x-14x^3 }$.
Answer
$$ \color{blue}{-6x^4} \cdot \left( \color{orangered}{9x-14x^3} \right) = 84x^7-54x^5 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= -6x^4 \\ Q(x) &= -14x^3+9x \\ \end{aligned} $$We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{-6x^4} \cdot \left( -14x^3+9x \right) &= \color{blue}{-6x^4} \cdot \left( -14x^3\right) + \color{blue}{-6x^4} \cdot 9x = \\ &= 84x^7-54x^5 \end{aligned} $$This page was created using
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