View Full Version : Division: x^3+7x^2+11x+5/x^2+2x+1

10-26-2008, 01:59 PM

I have done similar problems where the divisor is only two terms, ie x+4 but not with three. How do I do this?

10-26-2008, 02:26 PM

That x^2 in the denominator of the 5/x^2 term creates a fifth degree polynomial. Multiply through by x^2 to eliminate it and you have

a quintic with 5 solutions. 4 complex and 1 real.

It is not too easy to solve because the roots are not nicely behaved. Use tech to do it. That's what I'd do.

10-26-2008, 02:30 PM
Oh, I just realized, I hope you didn't mean:


If that is what you meant, it is not what you posted. That is why grouping symbols are important.

10-26-2008, 02:43 PM
:) Whoops that is what I meant

10-26-2008, 02:50 PM
In that event, try using the rational root theorem on the numerator. Try dividing the top by x+5 and see if it reduces to a quadratic. I bet it will. Then, it will be much easier to finish.

Take note, if you multiply the denominator by x+5, what do you get?. I bet you get the numerator.