Factor the quadratic expression.

(Factor completely.)

To factor the quadratic expression , we can use the method of factoring by grouping. First, multiply the leading coefficient (3) by the constant term (-16), which gives us -48. We need two numbers that multiply to -48 and add up to the middle coefficient (-8). These numbers are -12 and 4.

Now, rewrite the middle term -8x using -12x and +4x:

Next, group the terms:

Factor out the common factors from each group:

Now, we see a common factor of :

So, the factorization is: