find degree of x²+x+1

To find the degree of a polynomial, we look at the highest power of the variable in the expression. In this case, the polynomial is x² + x + 1.

The highest power of x in this polynomial is 2. Therefore, the degree of the polynomial is 2.

To easily determine the degree, you can simply count the number of terms in the polynomial expression. In this case, there are three terms: x², x, and 1. Since the highest power is 2, the degree of the polynomial is 2.