document.write( "Question 190881This question is from textbook algebra and trigonometry structure and method book 2
\n" ); document.write( ": Please help i am so confused and i keep coming up with these horrible fractions. this is supposed to be synthetic division.\r
\n" ); document.write( "\n" ); document.write( "6t^4+5t^3-10t+4/3t-2 \n" ); document.write( "
Algebra.Com's Answer #143330 by ankor@dixie-net.com(22740)\"\" \"About 
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synthetic division.
\n" ); document.write( "(6t^4 + 5t^3 - 10t + 4)/(3t-2)
\n" ); document.write( ":
\n" ); document.write( "Note that the t^2 is not represented so we have to write it:
\n" ); document.write( "6t^2 + 5t^3 + 0t^2 - 10t + 4 divided by 3t-2
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\n" ); document.write( "Find the divisor
\n" ); document.write( "3t = +2
\n" ); document.write( "t = \"2%2F3\"
\n" ); document.write( ":
\n" ); document.write( "Synthetic division:
\n" ); document.write( ":
\n" ); document.write( "............____________________
\n" ); document.write( "(2/3)| 6 + 5 + 0 - 10 + 4
\n" ); document.write( "......................4 + 6 + 4 - 4
\n" ); document.write( ".............-------------------
\n" ); document.write( "..............6 + 9 + 6 - 6 + 0 (no remainder)
\n" ); document.write( ":
\n" ); document.write( "Quotient; 6t^3 + 9t^2 + 6t - 6
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