document.write( "Question 1057661: Algebra help with a long division problem? Solve with synthetic division.\r
\n" ); document.write( "\n" ); document.write( "\"+%282x%5E4+-+5x%5E2+-+3%29+\" ÷ \"+%28x%5E2+-+2%29+\"\r
\n" ); document.write( "\n" ); document.write( "Thanks.
\n" ); document.write( "

Algebra.Com's Answer #672668 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
Account for ALL degrees of x in the dividend.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "          ___________________________________________\r\n" );
document.write( "          |\r\n" );
document.write( "  x^2-2   |  2x^4   0x^3    -5x^2    +0x    -3\r\n" );
document.write( "          |\r\n" );
document.write( "          |________________\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "              2x^2     0      -1\r\n" );
document.write( "          ___________________________________________\r\n" );
document.write( "          |\r\n" );
document.write( "  x^2-2   |  2x^4     0x^3    -5x^2    +0x    -3\r\n" );
document.write( "          |  2x^2             -4x^2\r\n" );
document.write( "          |_________________________\r\n" );
document.write( "             0        0x^3    -x^2     0x\r\n" );
document.write( "                              -x^2             2\r\n" );
document.write( "                              ____________________\r\n" );
document.write( "                                0       0     -5\r\n" );
document.write( "\r\n" );
document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Quotient is \"2x%5E2-1-5%2F%28x%5E2-2%29\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Know that I used polynomial division. A way is possible using synthetic division but synthetic division is more commonly known for use with linear binomial divisor.
\n" ); document.write( "
\n" );