The set of polynomials is closed under the operation of multiplication.
Mathematics, 16.04.2020 22:11 dania1524
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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 (x2β3x+1) and (6x+2) is a polynomial, x2+3x+3, which shows there is closure under multiplication.
B: The sum of the polynomials (xβ3) and (x+2) is a polynomial, 2xβ1, which shows there is closure under multiplication.
B: The product of the polynomials (x2β3x+1) and (2x+2) is a polynomial, 2x3β4x2β4x+2, which shows there is closure under multiplication.
A: (xβ3)+(x+2)=2xβ1
A: (x2β3x+1)+(6x+2)=x2+3x+3
A: (x2β3x+1)(2x+2)=2x3β4x2β4x+2
A: (x2β3x+2)(x+5)=x3+2x2β13x+10
A: (3x+4)β(8x+2)=β5x+2
B: The difference of the polynomials (3xβ4) and (8x+2) is a polynomial, β5x+2, which shows there is closure under multiplication.
B: The product of the polynomials (x2β3x+2) and (x+5) is a polynomial, x3+2x2β13x+10, which shows there is closure under multiplication.
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The set of polynomials is closed under the operation of multiplication.
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