Question 111
Let $p(x) = x^{2} - x + 1$. Let $\alpha$ be a root of $p(p(p(p(x))))$. Find the value of
$$
(p(\alpha)-1)\, p(\alpha)\, p(p(\alpha))\, p(p(p(\alpha)))
$$
$$
(p(\alpha)-1)\, p(\alpha)\, p(p(\alpha))\, p(p(p(\alpha)))
$$
MathNet 2016-part-07 — 182 problems (EN–VI) Question 111
Math Olympiad Vault · MathNet 2016-part-07 — 182 problems (EN–VI)