The operation is a closed system under subtraction because the result of subtracting the second polynomial \((2x^2 + 12x + 11)\) from the first polynomial \((9x^2 + 17x + 13)\) results in another polynomial of the same degree (in this case, a polynomial of degree 2) with coefficients that are real numbers, which means all operations remain within the set of polynomials.
Question
In 1–2 sentences, explain why the following operation is a closed system under subtraction.
(9x^2+17x+13)−(2x^2+12x+11)
1 answer