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

A: Which equation illustrates this concept?

B: Which statement correctly explains this concept?

Select one answer for question A and one answer for question B.

A: (x+4)+(4x−5)=49

A: (2x2−3x+1)(2x+2)=4x3−2x2−4x+2

A: (x−3)+(3x+2)=−2x−5

A: (3x−4)−(2x+2)=x−6

B: The sum of the polynomials (2x2−3x+1) and (2x+2) is a polynomial, 2x2−x+3, which shows there is closure under addition.

A: (2x2−3x+1)+(2x+2)=2x2−x+3

B: The sum of the polynomials (x+4) and (4x−5) is not a polynomial, 49, which does not show there is closure under addition.

B: The sum of the polynomials (x−3) and (3x+2) is a polynomial, −2x−5, which shows there is closure under addition.

B: The product of the polynomials (2x2−3x+1) and (2x+2) is a polynomial, 4x3−2x2−4x+2, which shows closure under addition.

B: The difference of the polynomials (3x−4) and (2x+2) is a polynomial, x−6, which shows there is closure under addition.