document.write( "Question 166602: Please help me with the following:\r
\n" );
document.write( "\n" );
document.write( "Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x).\r
\n" );
document.write( "\n" );
document.write( "P(x)=x^4+2x^3-2x+4
\n" );
document.write( "d(x)=x-2\r
\n" );
document.write( "\n" );
document.write( "Thank you. \n" );
document.write( "
Algebra.Com's Answer #122783 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x). \n" ); document.write( "P(x)=x^4+2x^3-2x+4 \n" ); document.write( "d(x)=x-2 \n" ); document.write( ". \n" ); document.write( "NOTE: it will be easier to see the solution (because of the spacing) below if you view the \"source\"! \n" ); document.write( ". \n" ); document.write( " x^3+5x^2+2x+2 \n" ); document.write( " _______________ \n" ); document.write( "x-2 |x^4+2x^3+0x^2-2x+4 \n" ); document.write( " x^4-3x^3 \n" ); document.write( " --------- \n" ); document.write( " 5x^3+0x^2-2x+4 \n" ); document.write( " 5x^3-2x^2 \n" ); document.write( " -------------- \n" ); document.write( " 2x^2-2x+4 \n" ); document.write( " 2x^2-4x \n" ); document.write( " --------- \n" ); document.write( " 2x+4 \n" ); document.write( " 2x-4 \n" ); document.write( " ---- \n" ); document.write( " 8 \n" ); document.write( ". \n" ); document.write( "Therefore: \n" ); document.write( "Q(x) = x^3+5x^2+2x+2 \n" ); document.write( "R(x) = 8/(x^4+2x^3+0x^2-2x+4) \n" ); document.write( " |