Question

Which of the following is/are not a Polynomial? (a) x + (b) 2x-318+1 6) r-3.6+1 (1) 2x2 – 5x

JEE/Engineering Exams

Maths

Solution

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( (a, b, d) ) (a) ( x^{2}+frac{1}{x}=x^{2}+x^{-1} ) is not a polynomial since the exponent of variable in 2 nd term is negative (b) ( 2 x^{2}-3 sqrt{x}+1=2 x^{2}-3 x^{frac{1}{2}}+1 ) is not a polynomial since the exponent of variable in 2 nd term is a rational number. (c) ( x^{3}-3 x+1 ) is a polynomial. ( (d) ) ( 2 x^{frac{3}{2}}-5 x ) is also not a polynomial, since the exponents of variable in 1 st term is a rational number Hence, (a), (b) and (d) is not a polynomial.