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March 18th, 2012, 01:46 PM  #1 
Newbie Joined: Mar 2012 Posts: 17 Thanks: 0  synthetic division
use synthetic division to show that (x+1/3)is a factor of g(x). than find factor to find the other two factors. list all three zeros g(x)=6x^3x^24x1 
March 18th, 2012, 03:38 PM  #2 
Math Team Joined: Nov 2010 From: Greece, Thessaloniki Posts: 1,990 Thanks: 133 Math Focus: pre pre pre pre pre pre pre pre pre pre pre pre calculus  Re: synthetic division [color=#000000] Now for your other question . [/color] 
March 18th, 2012, 03:52 PM  #3 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs  Re: synthetic division
[attachment=0:3dfyrsve]synthdiv.jpg[/attachment:3dfyrsve] So we have: The zeroes are therefore: 
March 19th, 2012, 05:19 AM  #4 
Math Team Joined: Nov 2010 From: Greece, Thessaloniki Posts: 1,990 Thanks: 133 Math Focus: pre pre pre pre pre pre pre pre pre pre pre pre calculus  Re: synthetic division [color=#000000] Mark's table with latex code (unfortunately some commands like \cline don't work). Code: \begin{tabular}{c r r r r} %explaining it is the alignment(center + vertical line + right + right+right +right) &6& 1 & 4&1 \\ 1/3&& 2 & 1 & 1 \\ \hline &6 &3 & 3 &\rule{3pt}{16pt}\;0\\ \end{tabular} 
March 19th, 2012, 07:31 AM  #5 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs  Re: synthetic division
Nicely done! I tried it with a slight modification... 
March 19th, 2012, 07:40 AM  #6 
Math Team Joined: Nov 2010 From: Greece, Thessaloniki Posts: 1,990 Thanks: 133 Math Focus: pre pre pre pre pre pre pre pre pre pre pre pre calculus  Re: synthetic division [color=#000000]Seeing the modifications you did to my code, I sense you understood the logic behind it! The tabular environment works like a matrix![/color] 

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