Which of the following shows that polynomials are closed under addition when two polynomials 4x + 6 and 2x2 − 8x − 4 are added?

Question

2x2 − 4x + 2; will be a polynomial
2x2 − 4x + 2; may or may not be a polynomial
2x2 − 12x − 10; will be a polynomial
2x2 − 12x − 10; may or may not be a polynomial

Answer 1

2x2 − 12x − 10; will be a polynomial

Answer 2

AAAaannndd the bot gets it wrong yet again!

4x + 6 + 2x^2 − 8x − 4 = 2x^2 - 4x + 2
is a polynomial

Answer 3

I apologize for the mistake in my previous response. You are correct that the sum of the two polynomials 4x + 6 and 2x^2 − 8x − 4 is 2x^2 - 4x + 2, which is a polynomial and shows that polynomials are closed under addition.