After combining like terms in the sum of and , the degree of the resulting polynomial is .
Answer & Analysis
Analysis
Question Analysis
This question asks students to add two polynomials and identify the degree of the resulting expression. The key task is recognizing that the highest-degree term after addition determines the degree.
Key Concept Explanation
The degree of a polynomial is the highest exponent of its variable with a non-zero coefficient. When adding polynomials, only like terms (same variable and exponent) are combined; the degree may stay the same or decrease if leading terms cancel—but not increase.
Step-by-step Solution
1. Add the given polynomials: .
2. Combine like terms:
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