Problem : show that x^2−2 is irreducible polynomial over Q. Answer : Given integral domain (Q , +, . ) where Q is the set of all rational numbers. Given a non zero polynomial \[ f(x) =x^2−2 \] Then f(x)…
Posted inAbstract Algebra
Problem : show that x^2−2 is irreducible polynomial over Q. Answer : Given integral domain (Q , +, . ) where Q is the set of all rational numbers. Given a non zero polynomial \[ f(x) =x^2−2 \] Then f(x)…