Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Algebra Polynomial Rings and Irreducibility Criteria
Consider the three statements -
Let F be a field and \(a \in F\) and \(a \neq 0\)
(i) If af(x) is irreducible over F, then f(x) is irreducible over F.
(ii) If f(ax) is irreducible over F, then f(x) is irreducible over F.
(iii) If f(x + a) is irreducible over F, then f(x) is irreducible over F.
choose the correct option?
1
only (i) and (ii) are true
2
only (ii) and (iii) are true
3
only (i) and (iii) are true
4
All the statements are true
5
Question Not Attempted