Final answer:
The correct factorization of the trinomial -3x²-10x-8 is (-3x+2)(x+4).
Step-by-step explanation:
The correct factorization of the trinomial -3x²-10x-8 is (-3x+2)(x+4).
To factorize the trinomial, we can use the AC method. First, find the product of the leading coefficient and the constant term: -3 * -8 = 24.
Next, find two numbers that multiply to 24 and add up to the coefficient of the middle term, which is -10. In this case, the numbers are -4 and 6. Rewrite the middle term using these numbers: -4x + 6x. Then, group the terms and factor by grouping.
-3x² - 4x + 6x - 8
-3x(x + 4) + 2(x + 4)
(-3x + 2)(x + 4)