The operation is a closed system under subtraction because the result of subtracting one polynomial from another results in another polynomial of the same degree, ensuring that the set of polynomials is closed under the operation of subtraction. In this case, subtracting \( (2x^2+12x+11) \) from \( (9x^2+17x+13) \) yields \( 7x^2 + 5x + 2 \), which is also a polynomial.
In 1–2 sentences, explain why the following operation is a closed system under subtraction.
(9x^2+17x+13)−(2x^2+12x+11)
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