The operation is a closed system under subtraction because the result of subtracting one polynomial from another will always yield another polynomial of the same degree or lower, maintaining the structure of the polynomial space. Specifically, subtracting the polynomial \( (2x^2 + 12x + 11) \) from \( (9x^2 + 17x + 13) \) results in the polynomial \( (7x^2 + 5x + 2) \), which remains a polynomial.
In 2 sentences, explain why the following operation is a closed system under subtraction
(9x^2 + 17x + 13) - (2x^2 + 12x + 11)
1 answer
3 answers