SOLUTION: Factor completely. If it is prime, say so. 12y^4-57y^3+36y^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor completely. If it is prime, say so. 12y^4-57y^3+36y^2      Log On


   

Question 109731: Factor completely. If it is prime, say so.
12y^4-57y^3+36y^2
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
12y^4 - 57y^3 + 36y^2
:
Although 57 may look prime, it is not. 3 * 19 = 57
:
We can factor out 3y^2:
3y^2(4y^2 - 19y + 12)
:
Then we can factor the quadratic to:
3y^2(4y - 3)(y - 4)