document.write( "Question 779761: \"what is the factor of each polynomial completely\" -a^3-100a,
\n" ); document.write( "-4w^3-16w^2+20w
\n" ); document.write( "

Algebra.Com's Answer #475347 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "-a³-100a,\r\n" );
document.write( "\r\n" );
document.write( "Factor out -a\r\n" );
document.write( "\r\n" );
document.write( "-a(a²+100)\r\n" );
document.write( "\r\n" );
document.write( "That' as far as it will factor. [you can factor the difference \r\n" );
document.write( "of two squares but you can't factor the sum of two squares)\r\n" );
document.write( "\r\n" );
document.write( "----------------------\r\n" );
document.write( "Second problem:\r\n" );
document.write( "\r\n" );
document.write( "-4w^3-16w^2+20w\r\n" );
document.write( "\r\n" );
document.write( "factor out -4w\r\n" );
document.write( "\r\n" );
document.write( "-4w(w²+4w-5)\r\n" );
document.write( "\r\n" );
document.write( "Now you can factor the trinomial:\r\n" );
document.write( "\r\n" );
document.write( "-4(w+5)(w-1)\r\n" );
document.write( "\r\n" );
document.write( "-------------------------\r\n" );
document.write( "\r\n" );
document.write( "Note that if the first one had been\r\n" );
document.write( "\r\n" );
document.write( "-a³+100a\r\n" );
document.write( "\r\n" );
document.write( "then you'd factor out\r\n" );
document.write( "\r\n" );
document.write( "-a(a²-100)\r\n" );
document.write( "\r\n" );
document.write( "then you could factor the difference of two squares as\r\n" );
document.write( "\r\n" );
document.write( "-a(a-10)(a+10)\r\n" );
document.write( "\r\n" );
document.write( "But if the sign of both terms is -, the way I showed at the\r\n" );
document.write( "top is the only way to factor it.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );