Prakkash's polynomial

Algebra Level 3

Suppose α,β,\alpha, \beta, and γ\gamma are the roots of polynomial x3+px2+qx+2=0x^{3} + px^{2} + qx + 2 = 0 and that αβ+1=0\alpha \beta + 1 = 0. What is the value of 2p+q+1002p + q + 100?


This problem is shared by Prakkash M, who came across it in his Mathematical Olympiad Training.
×

Problem Loading...

Note Loading...

Set Loading...