SOLUTION: Factor: 1/x + 2/3x-1*3x^2+11x-4/x-5 ( / means divide)

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Question 756293: Factor:
1/x + 2/3x-1*3x^2+11x-4/x-5
( / means divide)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
(1/x) + (2/3x-1) * (3x^2+11x-4/x-5)
------
(1/x) + 2/(3x-1)
------
= (1/x) + 2/(3x-1)
-------
= (1/x) + 2/(3x-1) * [(x+4)(3x-1)/(x-5)]
----
Cancel the (3x-1) factors:
---
= ((1/x)+2) * ((x+4)/(x-5)
---
= [(1+2x)x] * [(x+4)/(x-5)]
etc.
Cheers,
Stan H.