document.write( "Question 483457: i need to solve this inequality and i don't know how to solve it : x^4-5x^3-25x^2+65x+84(greater than or equal to)0 \n" ); document.write( "
Algebra.Com's Answer #330845 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
x^4-5x^3-25x^2+65x+84(greater than or equal to)0
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\n" ); document.write( "Find the zeroes:
\n" ); document.write( "Use synthetic division:
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\n" ); document.write( "-1)....1....-5....-25.....65....84
\n" ); document.write( ".......1.....-6....-19......84...|..0\r
\n" ); document.write( "\n" ); document.write( "7).....1......1.....-12....|..0\r
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\n" ); document.write( "Solve x^2+x-12 = 0
\n" ); document.write( "(x+4)(x-3) = 0
\n" ); document.write( "x = -4 or x = 3
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\n" ); document.write( "Draw a number line and plot x = -4,-1,3,7
\n" ); document.write( "These values satisfy the EQUALITY.
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\n" ); document.write( "Test a value in each of the 5 intervals to find the solution set:
\n" ); document.write( "INEQUALITY: (x+4)(x+1)(x-3)(x-7) > 0
\n" ); document.write( "Let x = -10 to get -*-*-*- > 0 ; true
\n" ); document.write( "Let x = -2 to get +*-*-*- > 0 ; false
\n" ); document.write( "Let x = 2 to get +*+*-1*- > 0 ; true
\n" ); document.write( "Let x = 5 to get +*+*+*- > 0 ; false
\n" ); document.write( "Let x = 10 to get +*+*+*+ > 0 ; true\r
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\n" ); document.write( "Solution: (-oo,-4]U[-1,3]U[7,+oo)\r
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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