Which operation shows that polynomials are a closed system under addition?(1 point)
9 answers
The operation of addition shows that polynomials are a closed system under addition.
Which operation shows that polynomials are a closed system under addition?(1 point)
Responses
(2x2+6x+1)+(3x2+3x+9)=(2x2+3x+1)+(3x2+6x+9)
(2x2+6x+1)+(3x2+3x+9)=5x2+9x+10
(2x2+6x+1)+(3x2+3x+9)=(2x2+3x2)+(6x+3x)+(1+9)
(2x2+6x+1)+(3x2+3x+9)=−x2+3x−8
Responses
(2x2+6x+1)+(3x2+3x+9)=(2x2+3x+1)+(3x2+6x+9)
(2x2+6x+1)+(3x2+3x+9)=5x2+9x+10
(2x2+6x+1)+(3x2+3x+9)=(2x2+3x2)+(6x+3x)+(1+9)
(2x2+6x+1)+(3x2+3x+9)=−x2+3x−8
The correct response is:
(2x^2+6x+1)+(3x^2+3x+9)=(2x^2+3x^2)+(6x+3x)+(1+9)
(2x^2+6x+1)+(3x^2+3x+9)=(2x^2+3x^2)+(6x+3x)+(1+9)
not the answer
The correct answer is:
(2x^2+6x+1)+(3x^2+3x+9)=5x^2+9x+10
(2x^2+6x+1)+(3x^2+3x+9)=5x^2+9x+10
Which operation shows that polynomials are a closed system under subtraction?(1 point)
Responses
(2x2+6x+1)−(3x2+3x+9)=5x2+9x+10
(2x2+6x+1)−(3x2+3x+9)=(2x2+6x−4)−(3x2+3x+4)
(2x2+6x+1)−(3x2+3x+9)=2x2+6x+1−3x2−3x−9
(2x2+6x+1)−(3x2+3x+9)=−x2+3x−8
Responses
(2x2+6x+1)−(3x2+3x+9)=5x2+9x+10
(2x2+6x+1)−(3x2+3x+9)=(2x2+6x−4)−(3x2+3x+4)
(2x2+6x+1)−(3x2+3x+9)=2x2+6x+1−3x2−3x−9
(2x2+6x+1)−(3x2+3x+9)=−x2+3x−8
The correct answer is:
(2x^2+6x+1)−(3x^2+3x+9) = -x^2+3x-8
(2x^2+6x+1)−(3x^2+3x+9) = -x^2+3x-8
Which operation shows that polynomials are a closed system under addition? (1 point)
Responses
(5x2+2x+1)+(−2x2+6x+4)=−3x2+8x−3
(5x2+2x+1)+(−2x2+6x+4)=3x2+8x+5
(5x2+2x+1)+(−2x2+6x+4)=(−2x2+2x+4)+(5x2+6x+1)
(5x2+2x+1)+(−2x2+6x+4)=(5x2−2x2)+(2x+6x)+(1+4)
Responses
(5x2+2x+1)+(−2x2+6x+4)=−3x2+8x−3
(5x2+2x+1)+(−2x2+6x+4)=3x2+8x+5
(5x2+2x+1)+(−2x2+6x+4)=(−2x2+2x+4)+(5x2+6x+1)
(5x2+2x+1)+(−2x2+6x+4)=(5x2−2x2)+(2x+6x)+(1+4)
The correct answer is:
(5x^2+2x+1)+(−2x^2+6x+4)=(3x^2+8x+5)
(5x^2+2x+1)+(−2x^2+6x+4)=(3x^2+8x+5)