In a polynomial, the exponents of the variables are always
(a) integers
(b) positive integers
(c) non-negative integers
(d) non-positive integers

Solution:

Correct answer is option (c).

The definition of the polynomial can be given as: "A polynomial is a type of expression in which the exponents of all variables should be a whole number".

✦ Try This: Choose from the following, the expression which is not a polynomial: (a) x³ + 3, (b) x^-2 + 1/2, (c) 3xy, (d) 5x² + 6x + 1

Correct answer is option (b).

Option(b) has -2 as the exponent of x. Expressions with negative exponents are not polynomials.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9

NCERT Exemplar Class 8 Maths Chapter 7 Problem 2

In a polynomial, the exponents of the variables are always (a) integers (b) positive integers (c) non-negative integers (d) non-positive integers

Summary:

In a polynomial, the exponents of the variables are always non-negative integers

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