Success is the sum of small efforts repeated day in and day out.— Robert Collier

Polynomials — quick quiz

5 real SOF IMO questions on Polynomials. Instant scoring and solutions, no signup — see where you stand in ~3 minutes.

Question 1 of 5

HARD

If α and β are the zeros of the polynomial f(x) = x² - px + q, then the polynomial having (α² + β²) and (α⁻¹ + β⁻¹) as its zeros is: