Multiply polynomial $ \, \color{blue}{ 6x-3x } \, $ by $ \, \color{orangered}{ -5x-6 }$.

$$ \left( \color{blue}{6x-3x} \right) \cdot \left( \color{orangered}{-5x-6} \right) = -15x^2-18x $$

Step 1: First we have to write polynomials in descending order.

$$ \begin{aligned} P(x) &= 3x \\ Q(x) &= -5x-6 \\ \end{aligned} $$

We can use distribution property to multiply the polynomial by the monomial.

$$ \begin{aligned} \color{blue}{3x} \cdot \left( -5x-6 \right) &= \color{blue}{3x} \cdot \left( -5x\right) + \color{blue}{3x} \cdot \left( -6\right) = \\ &= -15x^2-18x \end{aligned} $$

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