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
how do you know?
Answered by GPT 3.5
(5x2+2x+1)+(−2x2+6x+4)=−3x2+8x−3
Answered by 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.