Factor completely: 3a2 − 14a − 24
(3a − 4)(a + 6)
(3a + 4)(a − 6)
(3a − 6)(a + 4)
prime

The correct option is (3a+4)(a-6)

Step-by-step explanation:

We have the polynomial

For the polynomials of the form we have to rewrite the middle term as a sum of two terms whose product is, in this case, a.c=-72 and whose sum is b=(-14)

We have to factorize -14 from -14a:

Because b=(-18)+4=(-14) and a.c=(-18).4=(-72)

Now we have to factor by grouping:

Then, the correct option is (3a+4)(a-6)