Question

Can a$x^a$ be a zero degree polynomial in x? Say Yes/No.

• A. No
• B. Yes

Answer 1

The correct option is A

No

A zero degree polynomial is essentially a constant, i.e. any non zero real number. So, we have two conditions on a:

1)Exponent 'a' should be zero as it is the exponent of x (in a zero degree polynomial, all exponents of x should be zero )

2)Coefficient 'a' should not be zero as it is the coefficient.

These conditions can not happen at once. So this can never be a zero polynomial.