Question

medal and fan
Which of the following shows that polynomials are closed under addition when two polynomials 4x + 6 and 2x2 − 8x − 4 are added? (1 point)

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

add this: 4x + 6 + 2x^2 − 8x − 4 = 2x^2 − 4x + 2,

for some field to closed under certain operation, means that if you aply this operation to 2 elements of the field you get an element that is also in the field

in your case field is polinomials and operation is adition