document.write( "Question 346933: find the domain of R(x)=-2-5x/x^3-5x^2-6x \n" ); document.write( "
Algebra.Com's Answer #248070 by haileytucki(390)\"\" \"About 
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(-2-5x)/(x^(3)-5x^(2)-6x)\r
\n" ); document.write( "\n" ); document.write( "Factor out the GCF of x from each term in the polynomial.
\n" ); document.write( "(-5x-2)/(x(x^(2))+x(-5x)+x(-6))\r
\n" ); document.write( "\n" ); document.write( "Factor out the GCF of x from x^(3)-5x^(2)-6x.
\n" ); document.write( "(-5x-2)/(x(x^(2)-5x-6))\r
\n" ); document.write( "\n" ); document.write( "In this problem 1*-6=-6 and 1-6=-5, so insert 1 as the right hand term of one factor and -6 as the right-hand term of the other factor.
\n" ); document.write( "(-5x-2)/(x(x+1)(x-6))\r
\n" ); document.write( "\n" ); document.write( "The domain of an expression is all real numbers except for the regions where the expression is undefined. This can occur where the denominator equals 0, a square root is less than 0, or a logarithm is less than or equal to 0. All of these are undefined and therefore are not part of the domain.
\n" ); document.write( "x(x+1)(x-6)=0\r
\n" ); document.write( "\n" ); document.write( "Solve the equation to find where the original expression is undefined.
\n" ); document.write( "x=0,-1,6\r
\n" ); document.write( "\n" ); document.write( "The domain of the rational expression is all real numbers except where the expression is undefined.
\n" ); document.write( "x≠0,x≠-1,x≠6_(-∞,-1) U (-1,0) U (0,6) U (6,∞)
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