If the polynomial is added to the polynomial , the resulting polynomial will have a term with the highest degree of .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of the degree preservation property when adding polynomials. The highest degree term in the resulting polynomial will be the same as the highest degree term in the original polynomials.
Key Concept Explanation
When adding two polynomials, the degree of the resulting polynomial is the same as the highest degree of the original polynomials. In this case, the highest degree term in both polynomials is and , so the resulting polynomial will also have a degree of 4.
Step-by-step Solution
1. Identify the highest degree terms in both polynomials:
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