Home › TS EAPCET (Engineering) › Mathematics › Partial Fraction Decomposition › For a given rational fraction, how many decompos…
For a given rational fraction, how many decompositions of the standard form exist?
AInfinitely many
BExactly one
CExactly two
DExactly three
Answer & Solution
Correct answer: B. Exactly one
The decomposition into polynomial plus proper fractions over powers of irreducible factors is unique.
Related questions
Numerator above (x-1) in the partial fractions of 3/((x-1)(x+2))?The numerator over an irreducible quadratic factor must have degreePartial fraction decomposition writes a fraction as a polynomial plusA rational fraction P/Q is called proper whenThe sum of 1/(n(n+1)) for n = 1 to 9 equalsRewrite 1/(x²-5x+6) as a difference of two simple fractions.Determine B after splitting (x+2)/(x-1)² into A/(x-1) and B/(x-1)².How many terms are in the form of 1/(x²(x-1)²)?