The set of polynomials is closed under the operation of subtraction.

A: Which equations illustrate this concept?

B: Which statements correctly explain this concept?

There may be more than one correct answer for each question. Select all correct answers for each question.

B: The difference of the polynomials (3x−4) and (2x+2) is a polynomial, x−6, which shows there is closure under subtraction.
A: (2x^2+2x+1)−(x^2+x−4)=x2+x+5
B: The product of the polynomials (x^2−3x+1) and (2x+2) is a polynomial, 2x^3−4x^2−4x+2, which shows there is closure under subtraction.
B: The difference of the polynomials (2x^2+2x+1) and (x2+x−4) is a polynomial, x2+x+5, which shows there is closure under subtraction.
A: (3x−4)−(2x+2)=x−6
A: (x−3)+(x+2)=2x−1
B: The sum of the polynomials (x−3) and (x+2) is a polynomial, 2x−1, which shows there is closure under subtraction.
A: (x^2−3x+1)(2x+2)=2x^3−4x^2−4x+2
B: The sum of the polynomials (3x−4) and (8x+2) is a polynomial, 11x−2, which shows there is closure under subtraction.
A: (3x−4)+(8x+2)=11x−2