Assignment:
Q1. Prove that x^4- 16x^2+ 4 is irreducible in Q[x].
Q2. Show that ever element of C is algebraic over R
Hint : By the Factor Theorem , a+bi is a root of f(x) = (x-(a +bi))(x-(a-bi).Verify that f(x) has real coefficients.
C-complex
R-reals
Provide complete and step by step solution for the question and show calculations and use formulas.