Question

Identity the polynomial and mention their degrees.

$x^6+1$

Answer 1

In a polynomial all the exponents of variables must be in a whole number.

So, $x^6+1$ is a polynomial.

The degree of a polynomial is the highest power of variable.

In $x^6+1$, $x$ is the variable and the highest power is $6$.

Hence, the degree of polynomial $x^6+1$ is $6$.