This question is contains a revised conjecture to a conjecture I posed previously which was shown to be false. Let $ p, q \in \mathbb{C}[t]$ be two monic polynomials of degree $ n \ge 1$ . For $ \alpha \in [0,1]$ , let $ $ c_\alpha := \alpha p + (1-\alpha)q \in \mathbb{C}[t]$ $ SinceRead more