SOLUTION: (6x^2-31x+5)/(x-5)

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Question 338984: (6x^2-31x+5)/(x-5)
Found 2 solutions by jim_thompson5910, nerdybill:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%286x%5E2-31x%2B5%29%2F%28x-5%29 Start with the given expression.


%28%286x-1%29%28x-5%29%29%2F%28x-5%29 Factor 6x%5E2-31x%2B5 to get %286x-1%29%28x-5%29.


%28%286x-1%29highlight%28%28x-5%29%29%29%2F%28highlight%28%28x-5%29%29%29 Highlight the common terms.


%28%286x-1%29cross%28%28x-5%29%29%29%2F%28cross%28%28x-5%29%29%29 Cancel out the common terms.


6x-1 Simplify.


So %286x%5E2-31x%2B5%29%2F%28x-5%29 simplifies to 6x-1.


In other words, %286x%5E2-31x%2B5%29%2F%28x-5%29=6x-1


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website.

Jim

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
(6x^2-31x+5)/(x-5)
rewrite numerator as:
(6x^2-30x-x+5)/(x-5)
group terms:
[(6x^2-30x)-(x-5)]/(x-5)
factor:
[6x(x-5)-(x-5)]/(x-5)
factor:
[(x-5)(6x-1)]/(x-5)
canceling like-terms:
6x-11