document.write( "Question 636442: find all the roots: x^3-11x^2-25x-13=0 \n" ); document.write( "

Algebra.Com's Answer #401070 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
\n" );
document.write( "Hi,
\n" );
document.write( "find all the roots: 
\n" );
document.write( "x^3-11x^2-25x-13=0    |Note x = -1 as root:  -1 -11 +25 -13 =  0
\n" );
document.write( "(x+1) a factor:
\n" );
document.write( "Using synthetic division
\n" );
document.write( "-1	1	-11	-25	-13
\n" );
document.write( " 	 	-1	 12	 13
\n" );
document.write( " 	1	-12	-13	 0
\n" );
document.write( "Yields:
\n" );
document.write( "  x^2 - 12x - 13 = 0
\n" );
document.write( " (x-13)(x+1) = 0
\n" );
document.write( "  x = 13  or  x = -1
\n" );
document.write( "x^3-11x^2-25x-13=0 = (x+1)(x+1)(x-13)
\n" );
document.write( "Roots are:  -1, -1, 13 \n" );
document.write( "

\n" );