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

Answer 1

The operation is a closed system under subtraction because subtracting one polynomial from another results in another polynomial of the same degree, which is still within the set of polynomials. In this case, the result of the subtraction (9x² + 17x + 13) - (2x² + 12x + 11) yields a polynomial expression, maintaining closure within the set of polynomials.