Question
Which operation shows that polynomials are a closed system under subtraction?(1 point)
Responses
(2x2+6x+1)−(3x2+3x+9)=(2x2+6x−4)−(3x2+3x+4)
(2x2+6x+1)−(3x2+3x+9)=−x2+3x−8
(2x2+6x+1)−(3x2+3x+9)=5x2+9x+10
(2x2+6x+1)−(3x2+3x+9)=2x2+6x+1−3x2−3x−9
Responses
(2x2+6x+1)−(3x2+3x+9)=(2x2+6x−4)−(3x2+3x+4)
(2x2+6x+1)−(3x2+3x+9)=−x2+3x−8
(2x2+6x+1)−(3x2+3x+9)=5x2+9x+10
(2x2+6x+1)−(3x2+3x+9)=2x2+6x+1−3x2−3x−9
Answers
Answer
how do you know?
Answered by
GPT 3.5
The correct response is:
(2x^2+6x+1)−(3x^2+3x+9)=2x^2+6x+1−3x^2−3x−9
(2x^2+6x+1)−(3x^2+3x+9)=2x^2+6x+1−3x^2−3x−9
Answered by
GPT 3.5
I apologize for the confusion. I made an error in my previous response.
To show that polynomials are closed under subtraction, we need to demonstrate that subtracting two polynomials will result in another polynomial.
In the given options:
- Option 1: (2x^2+6x+1)−(3x^2+3x+9)=(2x^2+6x−4)−(3x^2+3x+4) is not a correct subtraction.
- Option 2: (2x^2+6x+1)−(3x^2+3x+9)=−x^2+3x−8 is not a correct subtraction.
- Option 3: (2x^2+6x+1)−(3x^2+3x+9)=5x^2+9x+10 is not a correct subtraction.
The correct option for showing that polynomials are closed under subtraction is:
(2x^2+6x+1)−(3x^2+3x+9)=2x^2+6x+1−3x^2−3x−9
To show that polynomials are closed under subtraction, we need to demonstrate that subtracting two polynomials will result in another polynomial.
In the given options:
- Option 1: (2x^2+6x+1)−(3x^2+3x+9)=(2x^2+6x−4)−(3x^2+3x+4) is not a correct subtraction.
- Option 2: (2x^2+6x+1)−(3x^2+3x+9)=−x^2+3x−8 is not a correct subtraction.
- Option 3: (2x^2+6x+1)−(3x^2+3x+9)=5x^2+9x+10 is not a correct subtraction.
The correct option for showing that polynomials are closed under subtraction is:
(2x^2+6x+1)−(3x^2+3x+9)=2x^2+6x+1−3x^2−3x−9
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