Answer:
For , the group is CLOSED as it a polynomial.
Step-by-step explanation:
Here, the given polynomials are:
Now, a group G is said to be <u>CLOSED UNDER SUBTRACTION</u> if,
a and b are he elements of G ⇒ (a-b) is ALSO AN ELEMENT of G
Now, here:
or,
Also, R(x) is a POLYNOMIAL.
So, R(x) is an Element of group G.
So, the set G of polynomials.
Hence, for the polynomial , it will be a polynomial the group is CLOSED.