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March 6th, 2014, 07:11 AM  #1 
Senior Member Joined: Feb 2014 From: Louisiana Posts: 156 Thanks: 6 Math Focus: algebra and the calculus  Polynomial division
Why is (2x  1)/(x  2) = 2 + 3/(x  2)? Why isn't the answer 2 (the quotient) plus 3 (the remainder), like in arithmetic division?

March 6th, 2014, 08:20 AM  #2 
Newbie Joined: Jan 2014 Posts: 10 Thanks: 0  Re: Polynomial division
I am assuming that you are doing your division wrong. When adding the "remainder" to the quotient, you need to remember that you are adding the ratio of the remainder to the divisor. For example: , where => remainder/divisor so we are adding = Quotient + (remainder/divisor) The same thing applies to this problem. 

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