Question

Which of the following is a constant polynomial?

• A. $4x^3+2x^2+3$
• B. $x^3+8$
• C. $x^2-4$
• D. $x^0+1$

Answer 1

The correct option is D $x^0+1$

A polynomial whose value always remains constant is called a constant polynomial.
Also, the degree of a constant polynomial is zero.

In the expression,
$x^0+1,$
the degree of the polynomial is zero.

Also, we know that
$x^0=1$

So,
$x^0+1=2$
2 is a constant value.

Hence, $x^0+1$ is a constant polynomial.