document.write( "Question 1076262: Is it possible to subtract two polynomials, each of degree 3, and have the difference be a polynomial of degree 2? If yes, give an example. Thanks \n" ); document.write( "
Algebra.Com's Answer #690921 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Yes.  Just make them so that when you subtract them,\r\n" );
document.write( "their x3 terms will cancel and leave terms\r\n" );
document.write( "in x2.\r\n" );
document.write( "\r\n" );
document.write( "Example\"\r\n" );
document.write( "\r\n" );
document.write( "\"P%28x%29=x%5E3%2B2x%5E2%2B3x%2B2\" and \"Q%28x%29=x%5E3%2Bx%5E2%2B2x%2B1\"\r\n" );
document.write( "\r\n" );
document.write( "Then\r\n" );
document.write( "\r\n" );
document.write( "\"P%28x%29-Q%28x%29=%28x%5E3%2B2x%5E2%2B3x%2B2%29-%28x%5E3%2Bx%5E2%2B2x%2B1%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"P%28x%29-Q%28x%29=x%5E3%2B2x%5E2%2B3x%2B2-x%5E3-x%5E2-2x-1%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"P%28x%29-Q%28x%29=x%5E2%2Bx%2B1%29\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );