Question

4x^4-11x^2-14x-7
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x+1
divide the polynomial in the numerator by the binomial in the denomiator

Answer 1

You can either do long division or synthetic division.
If using long division, set up the problem just like you did in your earlier years.
The best thing to do is find an example of one like it.
For example: http://www.purplemath.com/modules/polydiv2.htm
(I'm hoping there's no problem putting links to other pages in here. I'm new, I don't know.)