Synthetic division or Long division of polynomials?by streetmeat Tags: division, polynomials, synthetic 

#1
Jul2007, 12:13 AM

P: 8

How do i know under which circumstances to use synthetic and when to just do regular polynomial division? do they not both give the same results?




#2
Jul2007, 01:31 AM

HW Helper
P: 3,353

Yes, they give the same results. They are just 2 different methods for the same thing, I prefer the long division though.




#3
Jul2007, 03:17 AM

P: 12

Synthetic division only works if you are dividing a polynomial by a linear factor..




#4
Jul2007, 05:54 AM

Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 38,877

Synthetic division or Long division of polynomials?
In fact, only when dividing by something of the form xa.
Synthetic division is just a simplified way of writing a division of that very special (but very important) form. 



#5
Jul2407, 03:24 PM

HW Helper
P: 2,148





#6
Jul2407, 03:42 PM

HW Helper
P: 2,148




#7
Jun1808, 07:19 AM

P: 1

Hi i find them to go together, hand in hand.
for instance, we have this problem: 8x^6 + 7x^3 1 i use synthetic division to find that 1 is a solution, hence i have a factor that is: (x1) now, to look for the rest of the factors, i use long division to divide (8x^6 + 7x^3 1) by (x1); :) 


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