document.write( "Question 481153: Factor & check\r
\n" ); document.write( "\n" ); document.write( "x^3+8x^2+2x+16, 2bc+4b-5c-10 \n" ); document.write( "

Algebra.Com's Answer #329494 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
\n" );
document.write( "Hi,
\n" );
document.write( "x^3+8x^2+2x+16  Note: x = -8 is a root, thus(x+8) one factor
\n" );
document.write( "Applying synthetic division: (x^3+8x^2+2x+16)/(x+8) = x^2 + 2
\n" );
document.write( "-8	1	8	2	16
\n" );
document.write( "		-8	0	-16
\n" );
document.write( "	1	0	2	0
\n" );
document.write( "x^3+8x^2+2x+16 = (x+8)(x^2+2) = x^3 + 8x^2 + 2x + 16
\n" );
document.write( "                  F	First terms  x^3
\n" );
document.write( "                  O	Outside terms 2x
\n" );
document.write( "                  I	Inside term  8x^2
\n" );
document.write( "                  L	Last terms   16
\n" );
document.write( "2bc+4b-5c-10 = 2b(c + 2) - 5(c + 2 = (2b-5)(c+2)
\n" );
document.write( "                  F	First terms  2bc
\n" );
document.write( "                  O	Outside terms 4b
\n" );
document.write( "                  I	Inside term  -5c
\n" );
document.write( "                  L	Last terms   -10
\n" );
document.write( " \n" );
document.write( "

\n" );