Question

In a polynomial, the exponents of the variables are always

• A. Integers
• B. Positive integers
• C. Non-negative integers
• D. Non-positive integers

Answer 1

The correct option is C

Non-negative integers

Explanation for the correct option:

Properties of polynomials:

1. Polynomials are algebraic expressions that consist sum of terms where each term is a product of a numerical coefficient and a variable raised to a power.
2. We can perform addition, subtraction, multiplication, and division on polynomial expressions.
3. In a polynomial, the exponents of all variables are non-negative integers.
4. Example: $2x+5$, $4x^3+6x+3$.
5. Not an example: $3\sqrt{x}$, $\frac{5}{x}$.

Hence, Option C is the correct answer.