What is 12x3 - 9x2 - 4x + 3 in factored form?

Answer: (3x^2 + 1) (4x - 3)

12x^3 - 9x^2 + 4x - 3 in factored terms;

3x^2 is a common factor in 12x^3 and 9x^2

Pulling out 3x^2, we have 3x^2 (4x - 3) + 4x - 3

Splitting the expression into 2 groups (3x^2 (4x - 3) and 4x - 3)

4x - 3 is a common factor in both groups

Factorizing 4x - 3, we have 3x^2 (4x - 3) + 1 (4x - 3)

Therefore, in factored form, the equation becomes (3x^2 + 1) (4x - 3)