SOLUTION: The problem is to Factor Completely....and I just don't get this: 12x^5+16x^4-28x3 I believe that 2x^2 is the greatest common factor, but I can't figure out how to figure out

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The problem is to Factor Completely....and I just don't get this: 12x^5+16x^4-28x3 I believe that 2x^2 is the greatest common factor, but I can't figure out how to figure out      Log On


   



Question 418946: The problem is to Factor Completely....and I just don't get this:
12x^5+16x^4-28x3
I believe that 2x^2 is the greatest common factor, but I can't figure out how to figure out the rest.

Found 2 solutions by stanbon, sudhanshu_kmr:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Factor Completely....
12x^5+16x^4-28x3
---
Common Factor: 4x^3
---
= 4x^3[3x^2 + 4x - 7]
----
= 4x^3(3x^2 +7x-3x - 7]
---
= 4x^3[x(3x+7)-(3x+7)]
---
= 4x^3(3x+7)(x-1)
======================
Cheers,
Stan H.
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Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

12x^5 + 16x^4 -28x^3
= 4x^3(3x^2 + 4x -7)
now, factorize: 3x^2 + 4x -7
= 3x^2 + 7x -3x -7
= x(3x + 7) -1(3x +7)
= (x-1)(3x+7)

so, answers : 4x^3 * (x-1) * (3x+7)