The operation is a closed system under subtraction because the result of subtracting one polynomial (2x² + 12x + 11) from another (9x² + 17x + 13) yields a new polynomial. Since the set of polynomials is closed under the operation of subtraction, meaning that the subtraction of two polynomials will always produce another polynomial, we can conclude that the operation maintains closure within this mathematical structure.
Question
In 1–2 sentences, explain why the following operation is a closed system under subtraction.
(9x2+17x+13)−(2x2+12x+11)
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