AP EAMCET · Maths · Differential Equations
Which of the following is an improper rational fraction?
- A \(\frac{x^2+1}{\left(x^2+2\right)\left(x^2+x+1\right)}\)
- B \(\frac{x^2+1}{(x+3)\left(x^2-x+1\right)}\)
- C \(\frac{x}{\left(x^2+3 x+1\right)}\)
- D \(\frac{x^2+1}{x^2-1}\)
Answer & Solution
Correct Answer
(D) \(\frac{x^2+1}{x^2-1}\)
Step-by-step Solution
Detailed explanation
For improper fraction \(\left[\frac{p(x)}{q(x)}\right]\) (i) \(P(x)\) and \(q(x)\) both are polynomial. (ii) Degree of \(p(x) \geq\) degree of \(q(x)\). Option (a) \(\frac{x^2+1}{\left(x^2+1\right)\left(x^2+x+1\right)}=\frac{p(x)}{q(x)}\) Degree of \(p(x)=2\) Degree of…
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