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

(9x^2+17x+13)−(2x^2+12x+11)

1 answer

The operation is a closed system under subtraction because subtracting one polynomial from another results in another polynomial of the same degree or lower. In this case, the subtraction of (2x^2 + 12x + 11) from (9x^2 + 17x + 13) produces a new polynomial, maintaining the characteristics of a polynomial expression.