Question 7
Let $P(x) = x^{3} - 2x + 1$ and let $Q(x) = x^{3} - 4x^{2} + 4x - 1$. Show that
if $P(r) = 0$ then $Q(r^{2}) = 0$
if $P(r) = 0$ then $Q(r^{2}) = 0$
MathNet 2020 — Math Olympiad Vault — Part 05 Question 7
Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 05