I know how to do the long division method but i'm a bit lost with the synthetic way. What are the rules and method in doing it this way?

An example to use

(x^6 + x^4 + x^2 + 1) / (x^2 + 1)

Thanks alot

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- Sep 8th 2007, 09:08 AMJonathanEyoonDividing Polynomials
I know how to do the long division method but i'm a bit lost with the synthetic way. What are the rules and method in doing it this way?

An example to use

(x^6 + x^4 + x^2 + 1) / (x^2 + 1)

Thanks alot - Sep 8th 2007, 09:17 AMKrizalid
- Sep 8th 2007, 09:37 AMJonathanEyoon
- Sep 8th 2007, 02:30 PMtopsquark
You can't do synthetic division unless you are dividing by a linear polynomial.

So in this case, let $\displaystyle y = x^2$. Then you wish to divide $\displaystyle y^3 + y^2 + y + 1$ by $\displaystyle y + 1$, which is a problem you can do synthetically:

Code:`-1 | 1 1 1 1`

|__-1 0 -1__

1 0 1 |0

-Dan - Sep 8th 2007, 04:31 PMJonathanEyoon
Thanks alot guys.