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