document.write( "Question 716108: i need the quotient of -57s^(6)t^(4)-9s^5t^(3)+15s^(4)t^(2)+57s^(2)t and
\n" ); document.write( "3s^(2)t \n" ); document.write( "

Algebra.Com's Answer #439737 by jsmallt9(3758) $\"\"$ $\"About$

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Fractions represent a division. And the easiest way to solve this is to write is as a fraction and then reduce the fraction:
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\n" ); document.write( "First we factor out the greatest common factor (GCF) in the numerator and denominator:
\n" ); document.write( " $\"%283s%5E2t%28-19s%5E4t%5E3-3s%5E3t%5E2%2B5s%5E2t%2B19%29%29%2F%281%2A3s%5E2t%29\"$
\n" ); document.write( "As we can see, we can reduce this fraction. (If we could not reduce the fraction then we would have to resort to long division.)
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\n" ); document.write( "leaving:
\n" ); document.write( " $\"%28-19s%5E4t%5E3-3s%5E3t%5E2%2B5s%5E2t%2B19%29%2F1\"$
\n" ); document.write( "which simplifies to:
\n" ); document.write( " $\"-19s%5E4t%5E3-3s%5E3t%5E2%2B5s%5E2t%2B19\"$

\n" ); document.write( "P.S. Here is how it would look if we used long division:
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document.write( "         -19s^(4)t^3 - 3s^3t^2  + 5s^(2)t    + 19\r\n" );
document.write( "         ______________________________________________  \r\n" );
document.write( "3s^(2)t /-57s^(6)t^(4)-9s^5t^(3)+15s^(4)t^(2)+ 57s^(2)t\r\n" );
document.write( "         -57s^(6)t^(4)\r\n" );
document.write( "         ------------\r\n" );
document.write( "                   0 - 9s^5t^(3)\r\n" );
document.write( "                     - 9s^5t^3\r\n" );
document.write( "                     ---------\r\n" );
document.write( "                            0 + 15s^(4)t^(2)\r\n" );
document.write( "                                15s^(4)t^(2)\r\n" );
document.write( "                               -------------\r\n" );
document.write( "                                          0 +57s^(2)t \r\n" );
document.write( "                                             57s^(2)t\r\n" );
document.write( "                                             --------\r\n" );
document.write( "                                                   0\r\n" );
document.write( "

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