When you add two polynomials the result always has the same degree as the larger of the two original degrees.

Name: When you add two polynomials the result always has the same degree as the larger of the two original degrees.
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When adding polynomials, if the highest degree terms of both polynomials have the same degree and their coefficients sum to zero, the resulting polynomial can have a lower degree than the larger of the two original degrees.

When You Add Two Polynomials the Result Always Has the Same