Okay, here we have this:
Considering the provided trinomial, we are going to factorize it, so we obtain the following:
[tex]\begin{gathered} 3x^3-24x^2+45x \\ =3x(x^2-8x+15) \\ =3x(x-3)(x-5) \end{gathered}[/tex]
Finally we obtain that the correct answer is the option B.
