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

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.

b: the sum of the polynomials (3x+4) and (5x−5) is a polynomial, 8x−1, which shows closure under subtraction.
a: (3x+4)−(5x−5)=81
b: the difference of the polynomials (3x+4) and (5x−5) is not a polynomial. it is 81, which does not show there is closure under subtraction.
a: (3x−4)+(2x+2)=5x−2
a: (3x+4)+(5x−5)=8x−1
b: the product of the polynomials (3x−4) and (2x+2) is a polynomial, 6x2−2x−8, which shows closure under subtraction.
b: the sum of the polynomials (3x−4) and (2x+2) is a polynomial, 5x−2, which shows closure under subtraction.
a: (3x−4)−(2x+2)=x−6
a: (3x−4)(2x+2)=6x2−2x−8
b: the difference of the polynomials (3x−4) and (2x+2) is a polynomial, x−6, which shows closure under subtraction.