MathDB

2

Part of 1989 India National Olympiad

Problems(1)

problem 2 of Indian Mathematical Olympiad 1989

Source: Roots of a polynomial real or non real

9/1/2009
Let a,b,c a,b,c and d d be any four real numbers, not all equal to zero. Prove that the roots of the polynomial f(x) \equal{} x^{6} \plus{} ax^{3} \plus{} bx^{2} \plus{} cx \plus{} d can't all be real.
algebrapolynomialVietaalgebra unsolved