Question

Which shows one way to determine the factors of x3 – 12x2 – 2x + 24 by grouping?

x(x2 – 12) + 2(x2 – 12)
x(x2 – 12) – 2(x2 – 12)
x2(x – 12) + 2(x – 12)
x2(x – 12) – 2(x – 12)

Answer 1

LAST OPTION

Explanation:

Answer 2

D.
`x^(2) (x-12) -2(x-12)`

Explanation:

Determine the groups:
`(x^(3)-12x^(2) )` -
`(2x+24)`

Factor out terms:
`x^(2) (x-12) -2(x-12)`

The -2 was factored out in the second group to ensure that both groups had

(x-12).