SOLUTION: Hello, I need some help with factoring. I have a couple of problems that are giving me a hard time. 1. Factor completely: x^5y^3 - 3x^4y^2 - 28x^3y unless I am missing somethin

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hello, I need some help with factoring. I have a couple of problems that are giving me a hard time. 1. Factor completely: x^5y^3 - 3x^4y^2 - 28x^3y unless I am missing somethin      Log On


   



Question 200875: Hello, I need some help with factoring. I have a couple of problems that are giving me a hard time.
1. Factor completely: x^5y^3 - 3x^4y^2 - 28x^3y unless I am missing something, I am not finding a GCF for this problem.
2. Factor completely: x^3 - 2x^2 + 6x - 12
Any help will be appreciated.
Thanks in advance.

Found 2 solutions by rfer, MathTherapy:
Answer by rfer(16322) About Me  (Show Source):
Answer by MathTherapy(10858) About Me  (Show Source):
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Hello, I need some help with factoring. I have a couple of problems that are giving me a hard time.

1. Factor completely: x^5y^3 - 3x^4y^2 - 28x^3y  unless I am missing something, I am not finding a GCF for this problem.

2. Factor completely: x^3 - 2x^2 + 6x - 12

Any help will be appreciated.
Thanks in advance.

1. Factor completely: x5y3 - 3x4y2 - 28x3y

Unfortunately, you were misinformed by the other person who responded. The GCF for the ABOVE is x3y, NOT xy.

We then get: x%5E5y%5E3+-+3x%5E4y%5E2+-+28x%5E3y = x%5E3y%28x%5E2y%5E2+-+3xy+-+28%29 = x%5E3y%28%28xy%29%5E2+-+3xy+-+28%29 = highlight_green%28x%5E3y%28xy+-+7%29%28xy+%2B+4%29%29

2. Factor completely: x3 - 2x2 + 6x - 12 .

We then get: x%5E3+-+2x%5E2+%2B+6x+-+12 = x%5E2%28x+-+2%29+%2B+6%28x+-+2%29 = highlight_green%28%28x%5E2+%2B+6%29%28x+-+2%29%29