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

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

Factor to get .

Highlight the common terms.

Cancel out the common terms.

Simplify.

So simplifies to .

In other words,

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) (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

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