document.write( "Question 758825: Given f(x)= -x^3 +7x^2 -9x -5 and that x = 5 is a root, find the other roots \n" ); document.write( "
Algebra.Com's Answer #461709 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
Divide the function by x-5 to produce a quadratic quotient. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Through synthetic division:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "5____|_____-1______7_____-9______-5
\n" ); document.write( "_____|
\n" ); document.write( "_____|___________-5______10______5
\n" ); document.write( "_____|_____-1______2_____1_______0\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Note carefully the coefficients according to the bottom row:
\n" ); document.write( "\"-x%5E2%2B2x%2B1\"
\n" ); document.write( "Find the roots to this resulting polynomial using solution to quadratic formula.\r
\n" ); document.write( "\n" ); document.write( "\"%28-2%2B-+sqrt%284-4%28-1%29%281%29%29%29%2F%28-2%29\"
\n" ); document.write( "\"%28-2%2B-+sqrt%288%29%29%2F%28-2%29\"
\n" ); document.write( "\"%28-2%2B-+2%2Asqrt%282%29%29%2F%28-2%29\"
\n" ); document.write( "\"highlight%282%2B-+sqrt%282%29%29\"
\n" ); document.write( "
\n" );