In 1–2 sentences, explain why the following operation is a closed system under subtraction.%C2%A0 (9x2+17x+13)−(2x2+12x+11)

1 answer

The operation is a closed system under subtraction because subtracting two polynomials results in another polynomial, preserving the structure of polynomial functions. Specifically, in this case, subtracting \((2x^2 + 12x + 11)\) from \((9x^2 + 17x + 13)\) yields a new polynomial, which remains within the set of polynomials.