How would I factor 12x^3-18x^2-8x+12? x= the letter x

Expert Answers
cburr eNotes educator| Certified Educator

Since you have negatives in the middle and a positive at the end, both of your binomials will have a minus sign.

Since you have an x^3, you will have to have x in the first part of each binomial.

Look at the numbers involved:  12, 18, 8 and 12.

6 x 2 = 12     could get you both 12s and the 8, but not the 18.  You need either 6 x 3 or 9 x 2 to get the 18.  9 doesn't look promising, so try 6, 2 and 3.  then what do you need for the last part?  4

(6x^2 - 4) (2x - 3)