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I am trying to divide this polynomial by 2x ...

$ (4x^6 - 3x^3 + 2x + 1) / 2x $

Here's what I'm trying to do (divide all monomial by 2x) : $ (4x^6 / 2x) - (3x^3 / 2x) + (2x / 2x) + (1 / 2x) $

Then, I obtain: $ 2x^5 - 3x^2 + 1 + (1/2x) $

I'm trying to validate my answer with Wolfram bit it doesn't work..

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    @mixedmath done.2011-08-29

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In wolfram alpha , scroll down to the section titled alternate forms.