Factor the following trinomial. $$ 2 x^{2}+5 x-12 $$ Select the correct choice below and, it necessary, fill in A. $$ 2 x^{2}+5 x-12=\square $$ B. The polynomial is prime.

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Factor the expression $$ 2x^2+5x-12 $$.
Factor the expression by following steps:
- step0: Factor:
  $$2x^{2}+5x-12$$
- step1: Rewrite the expression:
  $$2x^{2}+\left(-3+8ight)x-12$$
- step2: Calculate:
  $$2x^{2}-3x+8x-12$$
- step3: Rewrite the expression:
  $$x	imes 2x-x	imes 3+4	imes 2x-4	imes 3$$
- step4: Factor the expression:
  $$x\left(2x-3ight)+4\left(2x-3ight)$$
- step5: Factor the expression:
  $$\left(x+4ight)\left(2x-3ight)$$
The factored form of the trinomial $$2x^{2}+5x-12$$ is $$(x+4)(2x-3)$$.

Therefore, the correct choice is A. $$2x^{2}+5x-12=(x+4)(2x-3)$$.
$$2x^{2}+5x-12=(x+4)(2x-3)$$

Factor the following trinomial.

Select the correct choice below and, it necessary, fill in
A.
B. The polynomial is prime.

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Factor the following trinomial. Select the correct choice below and, it necessary, fill in A. B. The polynomial is prime.