document.write( "Question 219068: what are the roots and asymptotes of f(x)=x^2-4x-5 over x^2+2x+1 \n" ); document.write( "
Algebra.Com's Answer #164837 by stanbon(75887)\"\" \"About 
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what are the roots and asymptotes of f(x)=x^2-4x-5 over x^2+2x+1
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\n" ); document.write( "Roots?
\n" ); document.write( "solve x^2-4x-5 = 0
\n" ); document.write( "(x-5)(x+1) = 0
\n" ); document.write( "x = 5 or x = -1
\n" ); document.write( "Those are the roots.
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\n" ); document.write( "Asymptotes?
\n" ); document.write( "solve x^2 + 2x +1 = 0
\n" ); document.write( "(x+1)(x+1) = 0
\n" ); document.write( "x = -1 or x = -1
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\n" ); document.write( "Comment: Since numerator and denominator have the factor x+1,
\n" ); document.write( "x = -1 is not a root and not an asymptote value. It is a hole.
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\n" ); document.write( "So x = 5 is a root and there are no vertical asymptotes.
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\n" ); document.write( "The horizontal asymptote is y = x^2/x^2 = 1
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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