Originally Posted by
JonathanEyoon 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
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
So the result is $\displaystyle y^2 + 1 = x^4 + 1$.
-Dan