Question

Which shows one way to determine the factors of x12x2-2x + 24 by grouping? A. x(X2-12) + 2(*2-12) B. xoe- 12) -2(2– 12) C. x- 12) + 2(x- 12) D. x- 12) - 2(x - 12)

Answer 1

The factors of
`x^(12)x^2 - 2x + 24` by grouping are C) x(x - 2)(x + 12) + 2(x - 2)

How to determine the factors of x12x2-2x + 24 by grouping

Lets start by grouping the terms

`(x^(12)x^2 - 2x) + 24`

Factor out the common factors:

`x(x^2 - 2) + 24`

Factoring the remaining quadratic:

x(x - 2)(x + 2) + 24

Simplifying the expression further:

(x(x - 2) + 24) + (2(x + 2))

Factoring out the common factors:

(x - 2)(x + 12) + 2(x + 2)

By combining the factors:

(x - 2)(x + 12) + 2(x - 2)

Therefore, the factors of
`x^(12)x^2 - 2x + 24` by grouping are x(x - 2)(x + 12) + 2(x - 2)