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The degree of a polynomial is the highest degree of its monomials. For example, the following polynomial has the degree $5.$ $\begin{gathered} 4x^5 + x^3 - 9x - 84 \end{gathered}$ This is because the monomial with highest degree is $4x^5.$ If the polynomial consists of only constant terms, the polynomial has the degree $0.$ Depending on the degree of a polynomial, it can have different characteristics. For example, a polynomial with degree $1$ is linear, and a polynomial with degree $2$ is quadratic.