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

##### 1 Answer

Mar 14, 2018

Break the trinomial into two binomials

#### Explanation:

The general form is

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