SOLUTION: Can you please help me find the solution to this problem. Given f(x)= 5x^2+12x-9/x+5 and h(x)=x^2+6x+9/x^2-25, find f(x)/h(x)

Algebra ->  Rational-functions -> SOLUTION: Can you please help me find the solution to this problem. Given f(x)= 5x^2+12x-9/x+5 and h(x)=x^2+6x+9/x^2-25, find f(x)/h(x)       Log On


   

Question 1104615: Can you please help me find the solution to this problem. Given f(x)= 5x^2+12x-9/x+5 and h(x)=x^2+6x+9/x^2-25, find f(x)/h(x)
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
see my worksheet below.

you factor whatever you can.

this makes the job much simpler because a lot of the factors will cancel out and you are left with a simpler expression to work with.

here's my worksheet.

$$$

the solution makes use of the fact that:

if f(x) = a/b and h(x) = c/d, then

f(x) / h(x) = (a/b) / (c/d) = (a/b) * (d/c) = (a*d) / (b*c)