which of the following subsets of R[x] are subrings of R[x]?
a) all polynomials with constant term 0.
b) all polynomials with degree 2.
c) all polynomials with , where k is a fixed positive integer.

d) all polynomials in which the odd powers of x have zero coefficients.

e) all polynomials in which the even powers of x have zero coefficients.

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degree degree

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a All polynomials with constant term 0R This is a subring without multiplicative identity of Rx To verify this we need only to check that it contains ... View the full answer