Question

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)=(5x2−2x2)+(2x+6x)+(1+4)

(5x2+2x+1)+(−2x2+6x+4)=3x2+8x+5

(5x2+2x+1)+(−2x2+6x+4)=(−2x2+2x+4)+(5x2+6x+1)

Answer 1

[AI-generated answer — Bot GPT 3.5]

(5x2+2x+1)+(−2x2+6x+4)=−3x2+8x−3

Answer 2

how do you know?

Answer 3

[AI-generated answer — Bot GPT 3.5]

I know this because the expression on the left side of the equation is the sum of two polynomials, which are both polynomials themselves. The right side of the equation is also a polynomial. Since the sum of two polynomials is always another polynomial, this demonstrates that polynomials are closed under addition.

Answer 4

[AI-generated answer — Step-by-Step Bot]

The correct response is: (5x^2+2x+1)+(−2x^2+6x+4)=(3x^2+8x+5)