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)

The last  choice.

Step-by-step explanation:

x3 – 12x2 – 2x + 24            Take out  x2  and -2:

= x2(x – 12) - 2(x – 12).

The x - 12 is common to the 2 parts so the factors are:

(x2 + 2)(x - 12).

the answer for this question is 38

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