Yes you can....it does not matter what the coeficients are for the polynomial..
Synthetic Division -- from Wolfram MathWorld
Remember
i've just read a page in wikipedia about synthetic division Polynomial long division - Wikipedia, the free encyclopedia
i find it interesting and helpful.
but can i do a synthetic division if a polynomial is divided by a non-monic polynomial such as ? thanks
Yes you can....it does not matter what the coeficients are for the polynomial..
Synthetic Division -- from Wolfram MathWorld
Remember
1. With synthetic division the divisor must be a linear and monic term.
2. If the divisor is a non-monic linear term divide the complete quotient by the leading coefficient of the divisor to change it into a monic linear term.
Example:
3. If the divisor isn't linear you have to use long division.