document.write( "Question 196905: when solving for x in the problem below,what critical values do you use?
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document.write( "(x^2+x-6)(x^2+4x+4)>0 \n" );
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Algebra.Com's Answer #147640 by RAY100(1637) ![]() You can put this solution on YOUR website! ( x^2 +x-6) (x^2+4x+4) >0 \n" ); document.write( ". \n" ); document.write( "factor \n" ); document.write( ". \n" ); document.write( "(x+3)(x-2)(x+2)(x+2) >0 \n" ); document.write( ". \n" ); document.write( "Points of interest,, x= -3,+2,-2, \n" ); document.write( ". \n" ); document.write( "set up a numberline, with regions defined by the above points \n" ); document.write( ". \n" ); document.write( "_____________A___-3___B___-2__________C_______________+2_______D_______ \n" ); document.write( ". \n" ); document.write( "Region A, Test point (-4),,,,,,f(x) = +96,,,,,ok \n" ); document.write( ". \n" ); document.write( "Region B, Test Point ( -2.5 ) ,,,f(x) = -9/16,,,,,,not ok \n" ); document.write( ". \n" ); document.write( "Region C, Test Point (0),,,,,f(x) = -24,,,,,not ok \n" ); document.write( ". \n" ); document.write( "Region D, Test Point (3),,,,f(x) = 150,,, ok \n" ); document.write( ". \n" ); document.write( "Therefore: -3>x>+2 \n" ); document.write( " |