document.write( "Question 968367: Find the solution to the polynomial inequality x^3+5x^2-4x-20>0\r
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Algebra.Com's Answer #591750 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Find the solution to the polynomial inequality x^3+5x^2-4x-20>0
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\n" ); document.write( "use rational roots theorem with synthetic division\r
\n" ); document.write( "\n" ); document.write( "...0...|.....1......5......-4......-20......
\n" ); document.write( "...1...|.....1......6.......2......-18.
\n" ); document.write( "...2...|.....1......7......10.......0 (2 is a root)
\n" ); document.write( "f(x)=(x-2)(x^2+7x+10)=(x-2)(x+5)(x+2)>0
\n" ); document.write( "number line:
\n" ); document.write( "<....-....-5.....+.....-2.....-.....2.....+......>
\n" ); document.write( "solution: (-5, -2) U (2, ∞)
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