Question

what is the factorization of the trinomial below? 3x^2 - 24x-^2 + 45xA. 3x(x-3)(x+5)B. 3x(x-3)(x-5)C. 3(x^2-3)(x+5)D. 3(x-3)(x+5)

Answer 1

Okay, here we have this:

Considering the provided trinomial, we are going to factorize it, so we obtain the following:

$\begin{gathered} 3x^3-24x^2+45x \\ =3x(x^2-8x+15) \\ =3x(x-3)(x-5) \end{gathered}$

Finally we obtain that the correct answer is the option B.