document.write( "Question 485258: Please help me to factor the polynomial by grouping in this equation: \r
\n" );
document.write( "\n" );
document.write( "a^3-4a^2+2a-8 \n" );
document.write( "
Algebra.Com's Answer #331895 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "a³-4a²+2a-8\r\n" ); document.write( "\r\n" ); document.write( "Factor the first two terms a³-4a² by taking out the\r\n" ); document.write( "greatest common factor, a², getting a²(a-4).\r\n" ); document.write( "\r\n" ); document.write( "Factor the last two terms +2a-8 by taking out the\r\n" ); document.write( "greatest common factor, getting +2(a-4)\r\n" ); document.write( "\r\n" ); document.write( "So we have\r\n" ); document.write( "\r\n" ); document.write( "a²(a-4)+2(a-4)\r\n" ); document.write( "\r\n" ); document.write( "Notice that there is a common factor, (a-4)\r\n" ); document.write( "\r\n" ); document.write( "a²(a-4)+2(a-4)\r\n" ); document.write( "\r\n" ); document.write( "which we can factor out leaving the a² and the +2 to put \r\n" ); document.write( "in parentheses:\r\n" ); document.write( "\r\n" ); document.write( "(a-4)(a²+2)\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |