The operation is a closed system under subtraction because subtracting two polynomials (in this case, \(9x^2 + 17x + 13\) and \(2x^2 + 12x + 11\)) results in another polynomial, which means the set of polynomials is preserved under this operation. Thus, the result remains within the same mathematical structure, confirming closure.
In 1–2 sentences, explain why the following operation is a closed system under subtraction.
(9x2+17x+13)−(2x2+12x+11)
(
9
𝑥
2
+
17
𝑥
+
13
)
−
(
2
𝑥
2
+
12
𝑥
+
11
)
(2 points)
1 answer
1 answer