Mark each of the following as true or false. (no full proofsnecessary.) (a) The

Question

Mark each of the following as true or false. (no full proofsnecessary.)

(a) The skew-field H of quaternions contains a subring isomorphicto C.
(b) If x 2 R is rational and y 2 R is irrational, then x + y isirrational.
(c) If R is a commutative ring with unity 1 6= 0, but R is not andintegral domain, then there
exist polynomials f(x) and g(x) such that deg (f(x)g(x)) 6= degf(x) + deg g(x).
(d) For any field F, the polynomial x2 + 1 2 F[x] isirreducible.
(e) Every polynomial of degree 4 over R has a real zero.

Explanation / Answer

anyone please

Related Questions

Navigate

• Browse (All)
• Browse M
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.