document.write( "Question 983557: Find the remainder when
\n" ); document.write( " $\"+3x%5E4%2B2x%5E3-x%5E2%2F3-x%2F9%2B2%2F27+\"$ divided by $\"+x%2B2%2F3+\"$
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Algebra.Com's Answer #604349 by josgarithmetic(39620) $\"\"$ $\"About$

You can put this solution on YOUR website!
Multiply the dividend and the divisor by 27, simplify, and then use polynomial division.\r
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\n" ); document.write( "\n" ); document.write( " $\"81x%5E4%2B54x%5E3-9x%5E2-3x%2B2\"$ divided by $\"27x%2B18\"$ ;
\n" ); document.write( "All whole number coefficients, much easier to handle this way.\r
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\n" ); document.write( "\n" ); document.write( "---\r
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\r\n" );
document.write( "                  3x^3       0     -(1/3)x\r\n" );
document.write( "             |_______________________________________\r\n" );
document.write( "             |\r\n" );
document.write( "27x-18    |    81x^4     54x^3    -9x^2     2\r\n" );
document.write( "               81x^4     54x^3\r\n" );
document.write( "                _______________\r\n" );
document.write( "               0          0        -9x^2\r\n" );
document.write( "                          0          0\r\n" );
document.write( "                          _____________\r\n" );
document.write( "                                    -9x^2     2\r\n" );
document.write( "                                    -9x^2     6\r\n" );
document.write( "                                    __________\r\n" );
document.write( "                                      0      -4\r\n" );
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\r
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\n" ); document.write( "\n" ); document.write( "Quotient is $\"highlight%283x%5E3-%281%2F3%29x-4%2F%2827x-18%29%29\"$ . \n" ); document.write( "

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