document.write( "Question 460856: solve this
\n" ); document.write( "-x3-x2-x>0 \n" ); document.write( "

Algebra.Com's Answer #316109 by poliphob3.14(115) $\"\"$ $\"About$

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$\"-x%5E3-x%5E2-x%3E0\"$ ,multiply by -1 and reverse the sign of the inequality:\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E3%2Bx%5E2%2Bx%3C0\"$ , factor out x; $\"x%28x%5E2%2Bx%2B1%29%3C0\"$ . The quadratic polynomial\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2Bx%2B1\"$ is always positive because its discriminant is negative.\r
\n" ); document.write( "\n" ); document.write( "Therefore the product $\"x%28x%5E2%2Bx%2B1%29\"$ is negative when x<0.\r
\n" ); document.write( "\n" ); document.write( "Answer:The solution set of this inequality is { x| x<0 }. \n" ); document.write( "

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