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)

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caylus
Hello,
Answer A

12x^3-2x²+18x-3
=2x²(6x-1)+3(6x-1)
=(6x-1)(2x²+3)

The factorization of  the given expression by grouping yields (6x-1)(2x²+3).

What is factorization?

Factorization is a way in which the common factors of the terms in an  algebraic expression are found. We have the expression 12x^3-2x²+18x-3 in which are to factorize by grouping.

In order to carry out this factorization by grouping we have to perform the following steps;

  • Identify common factors which are 2x^2 and 3
  • Apply the common factors to two groups of the portions of the expression as shown;

12x^3-2x²+18x-3

2x²(6x-1)+3(6x-1)

(6x-1)(2x²+3)

Learn more about factorization: https://brainly.com/question/6810544