SOLUTION: I have a test tomorrow and I dont know how to solve this: factor 12(x+1)squared+60(x+1)+75 Overall I dont know how to factor those kind of polynomials where I need to go over sev

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I have a test tomorrow and I dont know how to solve this: factor 12(x+1)squared+60(x+1)+75 Overall I dont know how to factor those kind of polynomials where I need to go over sev      Log On


   

Question 444210: I have a test tomorrow and I dont know how to solve this:
factor 12(x+1)squared+60(x+1)+75
Overall I dont know how to factor those kind of polynomials where I need to go over several steps.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

12%28x%2B1%29%5E2+%2B+60%28x%2B1%29+%2B+75  Let z = (x+1)

12z%5E2+%2B+60z+%2B+75+

z+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

z+=+%28-60+%2B-+sqrt%28+0+%29%29%2F%2824%29+

   z = -60/24 = -5/2 therefore x = -7/2    (x = z -1)