document.write( "Question 767466: I am having a hard time solving the following problem. Solve the polynomial inequality and express the solution set in interval notation.\r
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document.write( "x^3+x^2+36x+36<0\r
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document.write( "What is solution set? \n" );
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Algebra.Com's Answer #467820 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Solve the polynomial inequality and express the solution set in interval notation. \n" ); document.write( "x^3+x^2+36x+36<0 \n" ); document.write( "x^2(x+1)+36(x+1)<0 \n" ); document.write( "(x+1)(x^2+36)<0 \n" ); document.write( "zeros: \n" ); document.write( "x+1=0 \n" ); document.write( "x=-1 \n" ); document.write( ".. \n" ); document.write( "x^2+36=0 \n" ); document.write( "x^2=±√-36=±6i (not a real number, so it does not appear on the number line) \n" ); document.write( "number line \n" ); document.write( "<.....-.....-1....+......> \n" ); document.write( "solution: \n" ); document.write( "(-∞,-1) \n" ); document.write( " \n" ); document.write( " |