Question

which shows one way to determine the factors of 12x^3 - 2x^2 + 18x - 3 by grouping? A) 2x^2(6x - 1) + 3(6x - 1) B) 2x^2(6x - 1) - 3(6x - 1) C) 6x(2x^2 - 3) - 1(2x^2 - 3) D) 6x(2x^2 + 3) + 1(2x^2 + 3)

Answer 1

`2x^2(6x - 1) + 3(6x - 1)`

Explanation:

Given

`12x^3 - 2x^2 + 18x - 3`

Required

Factorize

To start with; we need to group the expression into two

`(12x^3 - 2x^2) + (18x - 3)`

Factorize each grouped expression, using their common factor

`2x^2(6x - 1) + 3(6x - 1)`

From the list of given options;

Option A is correct