Question
Multiply polynomial $ \, \color{blue}{ k-3k } \, $ by $ \, \color{orangered}{ 6-5k }$.
Answer
$$ \left( \color{blue}{k-3k} \right) \cdot \left( \color{orangered}{6-5k} \right) = 10k^2-12k $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= -2k \\ Q(x) &= -5k+6 \\ \end{aligned} $$We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{-2k} \cdot \left( -5k+6 \right) &= \color{blue}{-2k} \cdot \left( -5k\right) + \color{blue}{-2k} \cdot 6 = \\ &= 10k^2-12k \end{aligned} $$This page was created using
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