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

(8x^2+14x+10)-(3x^2+9x+8)

1 answer

The operation is a closed system under subtraction because subtracting any two polynomials results in another polynomial. In this case, when you subtract \(3x^2 + 9x + 8\) from \(8x^2 + 14x + 10\), the result is a polynomial of the same degree, maintaining the characteristics of the polynomial set.