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Which of the following is not a polynomial?(a) x^2+5x+10(b) √x+2x+4(c) x^10+10x(d) 5x+4This question was posed to me in an interview for internship.This is a very interesting question from Geometrical Meaning of Zeros of Polynomial topic in section Polynomials of Mathematics – Class 10

Answer»

Right OPTION is (b) √x+2x+4

To elaborate: An EXPRESSION in the form of (x)=a0+a1x+a2x^2+…+anx^n, where an≠0, is CALLED a polynomial where a1, a2 … an are REAL numbers and each POWER of x is a non-negative integer.

In case of √x+2x+4, the power of x is not an integer.

Therefore it is not a polynomial.



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