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

(9x2+17x+13)−(2x2+12x+11)

1 answer

The operation is a closed system under subtraction because subtracting any two polynomials results in another polynomial, and the resulting expression, (7x² + 5x + 2), is still part of the polynomial set. Thus, the operation does not produce any elements outside the set of polynomials.