document.write( "Question 377533: How do you solve for polynomial division and factors\r
\n" ); document.write( "\n" ); document.write( "Q: Divide to determine whether x+1 and x - 3 are factors of
\n" ); document.write( "x^(3)+2x^(2)-5x-6 \n" ); document.write( "

Algebra.Com's Answer #268382 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "\r\n" );
document.write( "         x^2 + x - 6\r\n" );
document.write( "        __________________________\r\n" );
document.write( " x + 1 | x^3 +  2x^2 -  5x - 6\r\n" );
document.write( "      - (x^3 +   x^2)\r\n" );
document.write( "       ---------------\r\n" );
document.write( "                 x^2 -  5x  \r\n" );
document.write( "             -  (x^2 +   x)\r\n" );
document.write( "                --------------\r\n" );
document.write( "                       -6x - 6 \r\n" );
document.write( "                   -  (-6x - 6) \r\n" );
document.write( "                      ---------\r\n" );
document.write( "                             0\r\n" );
document.write( "

\n" ); document.write( " $\"+%28x%5E3%2B2x%5E2-5x-6%29%2F%28x%2B1%29+=%28x%5E2%2Bx-6%29\"$
\n" ); document.write( "Since the remainder is zero, $\"%28x%2B1%29\"$ is a factor.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "         x^2 + 5x + 10\r\n" );
document.write( "        __________________________\r\n" );
document.write( " x - 3 | x^3 +  2x^2 -  5x -  6\r\n" );
document.write( "      - (x^3 -  3x^2)\r\n" );
document.write( "       ---------------\r\n" );
document.write( "                5x^2 -  5x  \r\n" );
document.write( "             - (5x^2 - 15x)\r\n" );
document.write( "                ---------------\r\n" );
document.write( "                       10x -  6 \r\n" );
document.write( "                   -  (10x - 30) \r\n" );
document.write( "                      ----------\r\n" );
document.write( "                             24\r\n" );
document.write( "

\n" ); document.write( " $\"+%28x%5E3%2B2x%5E2-5x-6%29%2F%28x-3%29+=%28x%5E2%2B5x%2B10%29%2B24%2F%28x-3%29\"$
\n" ); document.write( "Since the remainder is not zero, $\"%28x-3%29\"$ is not a factor.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " \n" ); document.write( "

\n" );