Question

If $a{x}^n$ is a zero degree polynomial in $x$, what can be said about $a$?

• A. $a$ is negative integer always
• B. $a$ is 1 always
• C. $a$ is 0 always
• D. $a$ is non zero

Answer 1

The correct option is D

$a$ is non zero

A zero degree polynomial is essentially a constant. i.e., any non-zero real number.
So, if $a{x}^n$ is a zero degree polynomial, then
$a{x}^n$ = $a{x}^0$ = a
So, n has to be zero, and $a$ should not be zero.