We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{6x^3} \cdot \left( -9x^2-10x \right) &= \color{blue}{6x^3} \cdot \left( -9x^2\right) + \color{blue}{6x^3} \cdot \left( -10x\right) = \\ &= -54x^5-60x^4 \end{aligned} $$