Question

PLEASE HELP WILL GIVE MEDAL


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

2x^2 − 4x + 2 will be a polynomial

2x^2 − 4x + 2 may or may not be a polynomial

2x^2 − 12x − 10 will be a polynomial

2x^2 − 12x − 10 may or may not be a polynomia

Answer 1

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

Answer 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

Answer 3

in your case field is polinomials and operation is adition

Answer 4

in short, "closed" will mean, the RESULTANT of the addition of those 2 fellows

Answer 5

so, if you add \(\bf 4x + 6 \quad and\quad 2x^2 − 8x − 4\)
what will be the RESULTANT or sum?

Answer 6

I tagged you @Nurali