# How do you factor 12x^2 - 8x +1?

Mar 14, 2018

Break the trinomial into two binomials

#### Explanation:

The general form is $A {x}^{2} + B x + C$

The C value is positive that means that both the binomial factors must the same either both positive or both negative
The coefficient in front of B is negative this means that both of the binomial factors must be negative.
The coefficient in front of B is 8 so the sum of the binomial factors must be 8

Possible factors of 12 are
12 + 1 = 13
6 + 2 = 8
3 + 4 = 7

The two factors must be -6 and -2 so

$\left(6 x - 1\right) \times \left(2 x - 1\right)$