When you add two polynomials the result never has a degree higher than either of the original degrees.

Name: When you add two polynomials the result never has a degree higher than either of the original degrees.
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This is a property of polynomial addition known as the degree property of addition. When adding two polynomials, you only add like terms, so the resulting polynomial will have the same degree or a lower degree than either of the original polynomials.

When You Add Two Polynomials the Result Never Has a Degree