Question

What is the degree of this polynomial `18^3-3w^2+4y^4-3`?

Answer 1

The degree of the polynomial `18^3-3w^2+4y^4-3` is `4`

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 which are factors of that term.

`color(white)("XXXX")`The degree of `18^3` is `0`
`color(white)("XXXX")`The degree of `3x^2` is `2`
`color(white)("XXXX")`The degree of `4y^4` is `4`
`color(white)("XXXX")`The degree of `3` is `0`

The highest degree of the terms is `4`

The degree of the polynomial is `4`