The discussion centers on the method of Partial Fraction Decomposition for the expression (t^4 + 9)/(t^4 + 9t^2). Participants clarify that since the degrees of the numerator and denominator are equal, polynomial long division is necessary. The correct approach involves recognizing that t^4 + 9 can be rewritten as t^4 + 9t^2 - 9t^2 + 9, allowing for simplification without long division. The final expression simplifies to 1 + 9/(t^4 + 9t^2), confirming the importance of proper polynomial manipulation.
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jdawg said:Homework Statement
(t4+9)/(t4+9t2)
Homework Equations
The Attempt at a Solution
I'm not completely sure if I'm using the correct method to solve this. Since the degrees of the numerator and denominator are the same, wouldn't you divide the denominator into the numerator? Here is the answer I got:
1+9/(t4+9t2)