document.write( "Question 479563: In the equation f(x) = 1/(x+4)^2 -5 How do I combine and express this as a ratio of polynomials? I found the Horizontal and verticle asymtotes, I want to know how to express and combine as a ratio of polynomials. Thanks! \n" ); document.write( "

Algebra.Com's Answer #328577 by ccs2011(207) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"f%28x%29+=+1%2F%28x%2B4%29%5E2-5\"$
\n" ); document.write( "The goal is to combine expression into a single fraction.
\n" ); document.write( "To do that you need a common denominator.
\n" ); document.write( "Lets multiply the 5 by something that has a value of 1 but will give us a common denominator
\n" ); document.write( " $\"f%28x%29+=+1%2F%28x%2B4%29%5E2-+5%28x%2B4%29%5E2%2F%28x%2B4%29%5E2\"$
\n" ); document.write( "Now both fractions have same denominator, add the numerators
\n" ); document.write( " $\"f%28x%29+=+%281-5%28x%2B4%29%5E2%29%2F%28x%2B4%29%5E2\"$
\n" ); document.write( "Expand and distribute the numerator
\n" ); document.write( " $\"f%28x%29+=+%281-5%28x%5E2%2B8x%2B16%29%29%2F%28x%2B4%29%5E2\"$
\n" ); document.write( " $\"f%28x%29+=+%28-5x%5E2-40x-79%29%2F%28x%2B4%29%5E2\"$
\n" ); document.write( "Now you have f(x) as a ratio of polynomials \n" ); document.write( "

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