The set of polynomials is closed under the operation of addition.
A: Which equation illu...
Mathematics, 29.05.2020 07:01 asiamuhammad6
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)+(4xβ5)=49
A: (2x2β3x+1)(2x+2)=4x3β2x2β4x+2
A: (xβ3)+(3x+2)=β2xβ5
A: (3xβ4)β(2x+2)=xβ6
B: The sum of the polynomials (2x2β3x+1) and (2x+2) is a polynomial, 2x2βx+3, which shows there is closure under addition.
A: (2x2β3x+1)+(2x+2)=2x2βx+3
B: The sum of the polynomials (x+4) and (4xβ5) is not a polynomial, 49, which does not show there is closure under addition.
B: The sum of the polynomials (xβ3) and (3x+2) is a polynomial, β2xβ5, which shows there is closure under addition.
B: The product of the polynomials (2x2β3x+1) and (2x+2) is a polynomial, 4x3β2x2β4x+2, which shows closure under addition.
B: The difference of the polynomials (3xβ4) and (2x+2) is a polynomial, xβ6, which shows there is closure under addition.
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