Polynomials are closed under the operation of addition. Which statement best explains the meaning of closure of polynomials unde
r the operation of addition?
When any two polynomials are added, the result is always a polynomial with positive coefficients.
When any two polynomials are added, the result is always a polynomial.
When any two polynomials are added, the coefficients of like terms are always added.
When any two polynomials are added, the result is always a monomial or a binomial.
1 answer:
Answer: The correct answer is the second choice: "When any two polynomials are added, the result is always a polynomial."
When a set of numbers is "closed" under an operation, it means that the resulting output answer is the same type as the input.
For example, if you add 2x + 9 and 3x + 12, you get 5x + 21.
You started with 2 polynomials and you ended with a polynomial.
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