Division: x^3+7x^2+11x+5/x^2+2x+1
- Thread starter sail0r
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Re: Division Help!
\(\displaystyle x^{3}+7x^{2}+11x+\frac{5}{x^{2}}+2x+1\)
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.
\(\displaystyle x^{3}+7x^{2}+11x+\frac{5}{x^{2}}+2x+1\)
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.
Whoops that is what I meantIn 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.
Take note, if you multiply the denominator by x+5, what do you get?. I bet you get the numerator.