factor the basic trinomial:

3x^4 - 3x^3 - 36X^2

The factoring of the trinomial 3x^4 - 3x^3 - 36x^2 is:

3x^2(x^2 - x - 12)

Further factoring the quadratic term x^2 - x - 12 gives:

3x^2(x - 4)(x + 3)

Thus, the factored form of the trinomial is:

3x^2(x - 4)(x + 3)