Answer:
B. 3(x -2)(x +4)
Step-by-step explanation:
You want to know the expression equivalent to 3x² +6x -24.
Leading coefficient
The leading coefficient is 3, so that can be a factor in the factored expression. Without that factor, one of the binomial factors must have a 3x term. These conditions eliminate choices C and D.
Constant
The product of the binomial constants and the leading coefficient must be -24. For the remaining choices, this product is .
A: 3(2)(-4) = -24
B: 3(-2)(4) = -24
This test does not differentiate between the answer choices.
Linear term
The coefficient of the linear term will be the product of the leading coefficient and the sum of the binomial constants:
A: 3(2 -4) = -6
B: 3(-2 +4) = 6 . . . . . . matches the original expression
The expression equivalent to 3x² +6x -24 is 3(x -2)(x +4), choice B.
