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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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    Seems to work: [link](http://www.wolframalpha.com/input/?i=%284x^6+-+3x^3+%2B+2x+%2B+1%29+%2F+2x). (plus, you'll have $\frac{3x^2}{2}$ instead of $3x^2$). In alpha, scroll down to alternative forms.2011-08-25
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    I'm going to delete the "monoidal-categories" tag. I suspect the OP started typing "monomial", mistyped, and/or accepted the wrong "suggestion".2011-08-25
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    @kuch Perhaps you should write you comment out as an answer so that this becomes answered.2011-08-29
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    @mixedmath done.2011-08-29

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