document.write( "Question 349202: (x^3+7x^2-5x-6) divided by (x+2) \n" ); document.write( "
Algebra.Com's Answer #249647 by CharlesG2(834)\"\" \"About 
You can put this solution on YOUR website!
(x^3+7x^2-5x-6) divided by (x+2)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " x^2 + 5x - 15
\n" ); document.write( "x + 2 --> x^3 + 7x^2 - 5x - 6
\n" ); document.write( " x^3 + 2x^2
\n" ); document.write( " 5x^2 - 5x
\n" ); document.write( " 5x^2 -10x
\n" ); document.write( " -15x - 6
\n" ); document.write( " -15x - 30
\n" ); document.write( " 24 (remainder of 24/(x + 2))\r
\n" ); document.write( "\n" ); document.write( "check:
\n" ); document.write( "(x + 2)(x^2 + 5x - 15 + 24/(x + 2))
\n" ); document.write( "x^2(x + 2) + 5x(x + 2) - 15(x + 2) + 24/(x + 2) * (x + 2)
\n" ); document.write( "x^3 + 2x^2 + 5x^2 + 10x - 15x - 30 + 24
\n" ); document.write( "x^3 + 7x^2 - 5x - 6 (same as what we were dividing into)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );