The closure property of polynomials states that the result of adding two polynomials is always another polynomial. For example, if you add and , the result is .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of the closure property of polynomials. It requires the student to add two polynomials and verify that the result is also a polynomial.
Key Concept Explanation
The closure property of polynomials means that when you add two polynomials, the result is always another polynomial. This is because the sum of like terms (terms with the same variable and exponent) results in a new polynomial.
Step-by-step Solution
1. Identify the given polynomials: and .
2. Group like terms:
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