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March 6th, 2014, 07:11 AM   #1
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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?
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March 6th, 2014, 08:20 AM   #2
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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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