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

1 Answer
Mar 14, 2018

Answer:

Break the trinomial into two binomials

Explanation:

The general form is # Ax^2 + Bx + 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

#( 6x -1) xx ( 2x-1)#