Answer:
(3x^2 + 1) (4x – 3)
Explanation:
12x³– 9x² + 4x – 3 in factored terms;
First, find the GCF of 12x³– 9x² + 4x – 3
3x²is a common factor in 12x³ and 9x²
we have 3x² (4x – 3) + 4x – 3
Splitting the expression into 2 groups 3x² (4x – 3) + ( 4x – 3)
4x – 3 is a common factor in both groups
Factoring 4x – 3, we have
3x² (4x – 3) + (4x – 3)
Therefore, in factored form, the equation becomes (3x² + 1) (4x – 3)