Question

Factorise 12^x-7x+1 by splitting the middle term and also by using factor theorem.



Please answer with full explanation
Thanku​

Answer 1

Answer:

$12 {x}^{2} - 7x + 1 \\ 12 {x}^{2} - 6x - x + 1 \\ 6x(2x - 1) - 1(x - 1) \\ (6x - 1)(2x - 1)(x - 1) \\ x = \frac{1}{6} \: \: x = \frac{1}{2} \: \: x = 1$