Factor completely 3x^3 + 6x^2 − 24x
select one:
a. 3x(x − 4)(x + 2)
b. 3x(x + 4)(x − 2)
c. 3x(x − 3)(x + 2)
d. 3x(x + 3)(x + 2)

The only choice that multiplies out to give the original expression is ...

... b. 3x(x + 4)(x − 2)

After you factor out 3x, you have 3x(x² +2x -8). At this point you can eliminate answers C and D because the product of the constants in the binomial factors is not -8. You can eliminate answer A because the product of binomial terms gives -2x as the linear term in the quadratic factor, not +2x.

d is the answer

step-by-step explanation:

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15