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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.
To determine the degree of a polynomial that is not in standard form (for example ( x + 1 ) 2 â ( x â 1 ) 2 {\displaystyle (x+1)^{2}-(x-1)^{2}} ), one has to put it first in standard form by expanding the products (by distributivity) and combining the like terms; for example ( x + 1 ) 2 â ( x â 1 ) 2 = 4 x {\displaystyle (x+1)^{2}-(x-1)^{2}=4x} is ...