document.write( "Question 1209675: Find the quotient and remainder when p(x) is divided by q(x)$, where p(x) = x^4 - x^2 + 3x - 7 and q(x) = x^2 + 2x - 5. \n" ); document.write( "
Algebra.Com's Answer #849791 by josgarithmetic(39626)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "                x^2     -2x       8\r\n" );
document.write( "           ______________________________________________\r\n" );
document.write( "x^2+2x-5   |    x^4     0x^3     -x^2    +3x    -7\r\n" );
document.write( "\r\n" );
document.write( "                x^4     2x^3     -5x^2\r\n" );
document.write( "              -------------------------\r\n" );
document.write( "                 0     -2x^3      4x^2   3x\r\n" );
document.write( "                       -2x^2     -4x^2   10x\r\n" );
document.write( "                       ----------------------\r\n" );
document.write( "                         0        8x^2   -7x   -7\r\n" );
document.write( "                                  8x^2   16x  -40\r\n" );
document.write( "                                 ------------------\r\n" );
document.write( "                                    0   -23x + 33\r\n" );
document.write( "

\n" ); document.write( "p/q is \"x%5E2-2x%2B8%2B%28-23x%2B33%29%2F%28x%5E2%2B2x-5%29\".
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