When combining like terms in the polynomial and , the resulting polynomial will have a degree of .
Answer & Analysis
Analysis
Question Analysis
The question tests the student's understanding of the degree of a polynomial after combining like terms. The key concept is that the highest degree term in the resulting polynomial will determine the degree of the polynomial.
Key Concept Explanation
The degree of a polynomial is the highest power of the variable in the polynomial. When combining like terms, the degree of the resulting polynomial is determined by the highest degree term that remains after simplification.
Step-by-step Solution
1. Identify the polynomials: and .
2. Combine the like terms:
For :
For :
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