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March 18th, 2012, 01:46 PM   #1
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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^3-x^2-4x-1
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March 18th, 2012, 03:38 PM   #2
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Re: synthetic division

[color=#000000]



Now for your other question




.
[/color]
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March 18th, 2012, 03:52 PM   #3
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Re: synthetic division

[attachment=0:3dfyrsve]synthdiv.jpg[/attachment:3dfyrsve]

So we have:



The zeroes are therefore:

Attached Images
File Type: jpg synthdiv.jpg (5.2 KB, 277 views)
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March 19th, 2012, 05:19 AM   #4
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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}
[/color]
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March 19th, 2012, 07:31 AM   #5
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Re: synthetic division

Nicely done! I tried it with a slight modification...

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March 19th, 2012, 07:40 AM   #6
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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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