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

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 sum of the polynomials (x2−3x+1) and (6x+2) is a polynomial, x2+3x+3, which shows there is closure under multiplication.
B: The sum of the polynomials (x−3) and (x+2) is a polynomial, 2x−1, which shows there is closure under multiplication.
B: The product of the polynomials (x2−3x+1) and (2x+2) is a polynomial, 2x3−4x2−4x+2, which shows there is closure under multiplication.
A: (x−3)+(x+2)=2x−1
A: (x2−3x+1)+(6x+2)=x2+3x+3
A: (x2−3x+1)(2x+2)=2x3−4x2−4x+2
A: (x2−3x+2)(x+5)=x3+2x2−13x+10
A: (3x+4)−(8x+2)=−5x+2
B: The difference of the polynomials (3x−4) and (8x+2) is a polynomial, −5x+2, which shows there is closure under multiplication.
B: The product of the polynomials (x2−3x+2) and (x+5) is a polynomial, x3+2x2−13x+10, which shows there is closure under multiplication.