Question

Use the remainder theorem to find the remainder when P(x) = x^3-2ax^2+1 is divided by x-a-1.

Answer 1

x - a - 1 = x - (a+1)
The remainder will be P(a+1):
P(a+1) = (a+1) ³ -2a(a+1) ² +1
Expand and simplify.