document.write( "Question 979561: x^4-3x^3+2x^2/x^2-x-30>=0 \n" ); document.write( "

Algebra.Com's Answer #600846 by josgarithmetic(39617) $\"\"$ $\"About$

You can put this solution on YOUR website!
Here is a start:\r
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\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2%28x%5E2-3x%2B2%29%29%2F%28%28x%2B5%29%28x-6%29%29%3E=0\"$ \r
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\n" ); document.write( "\n" ); document.write( "Is the quadratic factor of numerator factorable?
\n" ); document.write( "The discriminant, $\"%28-3%29%5E2-4%2A2\"$
\n" ); document.write( " $\"9-8=1\"$
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\n" ); document.write( "roots $\"%283-1%29%2F2\"$ and $\"%283%2B1%29%2F2\"$
\n" ); document.write( "or
\n" ); document.write( "roots 1 and 2
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\n" ); document.write( "That quadratic factor is further factorable as $\"%28x-1%29%28x-2%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "The entire inequality is $\"highlight_green%28%28%28x%5E2%29%28x-1%29%28x-2%29%29%2F%28%28x%2B5%29%28x-6%29%29%3E=0%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "You want to check the intervals cut by the critical x values of -5, 0, 1, 2, 6.
\n" ); document.write( "Some intervals will satisfy and others will not satisfy the given inequality.
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\n" ); document.write( "Check any single value in these intervals of x:
\n" ); document.write( "(-infinity,-5), (-5,0], [0,1], [1,2], [2,6), (6,infinity).\r
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