Which shows one way to determine the factors of 12x³ - 2x² + 18x - 3 by grouping?
2x²(6x - 1) + 3(6x - 1)
2x²(6x - 1) - 3(6x - 1)
6x(2x² - 3) - 1(2x² - 3)
6x(2x² + 3) + 1(2x² + 3)

Solution:

Factoring polynomials are one in many ways. Factoring by grouping refers to the grouping of the terms having common factors before factoring.

The given expression is

12x³ - 2x² + 18x - 3

By grouping the first two terms and last two terms

= (12x³ - 2x²) + (18x - 3)

Here 2x² is common in the first two terms and 3 is common in the last two terms

= 2x² (6x - 1) + 3 (6x - 1)

Therefore, 2x²(6x - 1) + 3(6x - 1) shows one way to determine the factors.

Which shows one way to determine the factors of 12x³ - 2x² + 18x - 3 by grouping?
2x²(6x - 1) + 3(6x - 1)
2x²(6x - 1) - 3(6x - 1)
6x(2x² - 3) - 1(2x² - 3)
6x(2x² + 3) + 1(2x² + 3)

Summary:

2x²(6x - 1) + 3(6x - 1) is one way to determine the factors of 12x³ - 2x² + 18x - 3 by grouping.