1. The polynomial ax^(n+1) + bx^n + 1 is divisible by (x - 1)^2. Show that a = n, and b = -(1 + n).
2. Let x = a be a root of the quartic polynomial P(x) = x^4 + Ax^3 + Bx^2 + Ax + 1 where (2 + B)^2 NOT EQUALS 4A^2.
i. Show that a cannot be 0, 1, or -1.
ii. Show that x = 1/a
is a root.
iii...