document.write( "Question 310513: polynomial in factored form:\r
\n" ); document.write( "\n" ); document.write( "-t^3-6t^2+11t+66=\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "dlbtaw@yahoo.com \n" ); document.write( "
Algebra.Com's Answer #222052 by Edwin McCravy(20066)\"\" \"About 
You can put this solution on YOUR website!
\"red%28-t%5E3-6t%5E2%29%29\"\"blue%28%22%22%2B11t%2B66%29\"
\n" ); document.write( "
\r\n" );
document.write( "The other tutor's solution is incorrect:\r\n" );
document.write( "\r\n" );
document.write( "Factor out \"red%28-t%5E2%29\" from the two red terms:\r\n" );
document.write( "\r\n" );
document.write( "(Don't forget that when you factor out a negative, \r\n" );
document.write( "the signs change inside the parentheses!)\r\n" );
document.write( "\r\n" );
document.write( "\"red%28-t%5E2%28t%2B6%29%29\"\"blue%28%22%22%2B11t%2B66%29\"\r\n" );
document.write( "\r\n" );
document.write( "Factor out \"blue%28%22%22%2B11%29\" from the two blue terms:\r\n" );
document.write( "\r\n" );
document.write( "\"red%28-t%5E2%28t%2B6%29%29\"\"blue%28%22%22%2B11%2A%28t%2B6%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "Now I'll do some re-coloring:\r\n" );
document.write( "\r\n" );
document.write( "\"-t%5E2%2Agreen%28%28t%2B6%29%29%29\"\"%22%22%2B11%2Agreen%28%28t%2B6%29%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "Take out the green \"green%28%28t%2B6%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"green%28%28t%2B6%29%29%28-t%5E2%2B11%29\"\r\n" );
document.write( "\r\n" );
document.write( "That's it!  You can make it a tiny bit shorter by\r\n" );
document.write( "reversing the terms in the second factor:\r\n" );
document.write( "\r\n" );
document.write( "\"green%28%28t%2B6%29%29%2811-t%5E2%29\"\r\n" );
document.write( "\r\n" );
document.write( "But that is not necessary.  To make the green one\r\n" );
document.write( "match, you might want to reverse the terms in it too:\r\n" );
document.write( "\r\n" );
document.write( "\"green%28%286%2Bt%29%29%2811-t%5E2%29\"\r\n" );
document.write( "\r\n" );
document.write( "and then leave the whole thing black, like this:\r\n" );
document.write( "\r\n" );
document.write( "\"%286%2Bt%29%2811-t%5E2%29\"\r\n" );
document.write( "\r\n" );
document.write( "But it would be OK just to leave it like we had it above\r\n" );
document.write( "without the coloring:\r\n" );
document.write( "\r\n" );
document.write( "\"%28t%2B6%29%28-t%5E2%2B11%29\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );