When combining like terms in the polynomial and , the resulting polynomial will have a degree of .
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of the degree of a polynomial after combining like terms. The highest degree term in the result should match the highest degree term in the input polynomials.
Key Concept Explanation
The degree of a polynomial is the highest power of the variable in the polynomial. When adding polynomials, the degree of the resulting polynomial is determined by the highest degree term in the sum.
Step-by-step Solution
1. Identify the highest degree terms in both polynomials: and .
2. Combine the like terms:
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