We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \left( -3x-2 \right) \cdot \left( \color{orangered}{-5x^2} \right) &= \left( -3x\right) \cdot \color{orangered}{-5x^2} + \left( -2\right) \cdot \color{orangered}{-5x^2} = \\ &= 15x^3+10x^2 \end{aligned} $$