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document.write( "What are the negative and positive intervals to these equations?
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document.write( "y=x^2+5x+6
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document.write( "y=2x^2-11x-5
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document.write( "1. y =
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document.write( " Find the roots of the polynomial. For it, factorize the polynomial:\r\n" );
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= (x+2)*(x+3).\r\n" );
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document.write( " So, the roots are x = -3 and x = -2.\r\n" );
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document.write( " The polynomial is negative when -3 < x < -2, i.e in the interval (-3,-2).\r\n" );
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document.write( " The polynomial is positive when x < -3 or x > -2, i.e. in the the union of two semi-infinite intervals (
,
) U (
,
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document.write( "2. Now make the same with the second equation.\r\n" );
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document.write( " First find its roots (you can use the quadratic formula).\r\n" );
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document.write( " Then analyse the sign of the polynomial between the roots, to the left of the roots and to the right of the roots.\r\n" );
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