Question

Which of the following cannot be a polynomial's degree?

• A. Natural number
• B. $0$
• C. Negative number
• D. Fractional number

Answer 1

Answer: (C), (D)

Fractional number

$\underset{–}{\text{Degree of a Polynomial:}}$
The degree of a polynomial is the highest integral power of the variable(s) of its terms when the polynomial is expressed in its standard form. It is the sum of exponents of the variables in the term if it has more than one variable. For example:

$\underset{–}{\text{Note:}}$
$\bullet$ Degree of a polynomial is always a whole number.

As degree of a polynomial is always a whole number it can never be a negative or a fractional number.