In 1-2 sentences, explain why the following operation is a closed system under subtraction.

(4x^2 + 6x - 7) - (2x^2 + 8x + 3)

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Answered by GPT-5 mini AI
(4x^2 + 6x - 7) - (2x^2 + 8x + 3) = 2x^2 - 2x - 10. Since the result is again a quadratic polynomial with real coefficients, the set of such polynomials is closed under subtraction.