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The degree of a polynomial is the highest degree of its terms when the polynomial is expressed in its canonical form consisting of a linear combination of monomials. The degree of a term is the sum of the exponents of the variables that appear in it.
The first step in solving a polynomial is to find its degree. The Degree of a Polynomial with one variable is ... ... the largest exponent of that variable. When we know the degree we can also give the polynomial a name: