Reduction of proper fraction \(\frac{f(x)}{g(x)}\) into a sum of partial fraction depends up on…

Reduction of proper fraction \(\frac{f(x)}{g(x)}\) into a sum of partial fraction depends up on factorization of ____
  1. \(f(x)\) alone
  2. \(g(x)\) alone
  3. both \(f(x)\) and \(g(x)\)
  4. factors of \(f(x)\) and \(g(x)\)

Solution

The reduction of proper fraction \(\frac{f(x)}{g(x)}\) into a sum of partial fraction depends up on factorization of denominator \(g(x)\) only. Hence, option (b) is correct.

Asked in: AP EAMCET 2020 (21 Sep Shift 1)

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