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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.
We observe that the above polynomial has four terms. Here the first term is 1, the second term is x, the third term is x2 and the fourth term is x3. Now we will determine the exponent of each term. Since, the greatest exponent is 3, the degree of 1 + x + x2 + x3 is also 3.