Question

What is the degree of `x^2 + 2x + 3`?

Answer 1

The degree of `x^2+2x+3` is `2`

Explanation:

The degree of a polynomial is the highest degree of any of its terms.

The degree of a term is the sum of the exponents of the variables within that term.

`color(white)("XXXX")` `x^2` has degree `2`
`color(white)("XXXX")` `2x = 2x^1` has degree `1`
`color(white)("XXXX")` `3 = 3x^0` has degree `0`

The highest degree of the terms is `2` and this is therefore the degree of the polynomial