document.write( "Question 630654: Find the quotient and remainder when dividing the polynomial p(x) = 3x^4-x^3-4x^2+ 3x-5 by the polynomial d(x) = x^2-2. \n" ); document.write( "

Algebra.Com's Answer #397141 by jsmallt9(3758) $\"\"$ $\"About$

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\r\n" );
document.write( "        3x^2 -x   +2\r\n" );
document.write( "       _____________________________________\r\n" );
document.write( "x^2-2 / 3x^4 -x^3 -4x^2  +3x  -5\r\n" );
document.write( "        3x^4      -6x^2                        <== line up like terms!\r\n" );
document.write( "        ===============\r\n" );
document.write( "             -x^3 +2x^2\r\n" );
document.write( "             -x^3        -2x\r\n" );
document.write( "             ===============\r\n" );
document.write( "                   2x^2  +5x\r\n" );
document.write( "                   2x^2       -4\r\n" );
document.write( "                   =============\r\n" );
document.write( "                          5x - 1\r\n" );
document.write( "

\n" ); document.write( "Quotient: $\"3x%5E2-x%2B2%29\"$
\n" ); document.write( "Remainder: $\"5x-1\"$ \n" ); document.write( "

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