Answered

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 :

MrRoyal

Answer:

[tex]2x^2(6x - 1) + 3(6x - 1)[/tex]

Step-by-step explanation:

Given

[tex]12x^3 - 2x^2 + 18x - 3[/tex]

Required

Factorize

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

[tex](12x^3 - 2x^2) + (18x - 3)[/tex]

Factorize each grouped expression, using their common factor

[tex]2x^2(6x - 1) + 3(6x - 1)[/tex]

From the list of given options;

Option A is correct

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