Answer
D
Work Step by Step
The last term of the trinomial is positive.
This means that one of the two binomial factor will have a negative constant term while the other will have a positive constant term.
Thus, the only possible factors are the ones in Options C and D.
When multiplied, the binomials in Option D gives:
$(3x-4)(2x+3)
\\=3x(2x) +3x(3) - 4(2x) -4(3)
\\=6x^2+9x-8x-12
\\=6x^2+x-12$
Therefore, the correct factorization of the given trinomial is the one in Option D.
