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\(\frac{1}{\sqrt[2]{x}}\) is a polynomial.(a) True(b) FalseThe question was asked in an interview.This intriguing question comes from Polynomials Basics in chapter Polynomials of Mathematics – Class 9

Answer»

Correct OPTION is (B) False

The BEST I can explain: For an expression to be a polynomial, exponent of variable has to be whole NUMBER.

\(\frac{1}{\sqrt[2]{x}}\) can be written as x^-1/2. We can see that exponent of x is -1/2 which is not whole number (W = {0, 1, 2, 3…}). Hence, \(\frac{1}{\sqrt[2]{x}}\) is not a polynomial.



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