Question

Given that f(x) = x^(2n) - (p+1)x^(2) + p, where n and p are positive integers, show that (x-1) is a factor of f(x) for all values of p and... when p=4, find the value of n for which (x+2) is a factor of f(x) and factorise f(x) completely.

Answer 1

This might not be the smartest answer but you can show that (x-1) is a factor by simply replacing 1 instead of x. This will give you the equation 1-(p+1)+p, which is clearly zero, meaning that (x-1) is a factor.

Answer 2

yeah :) thanks, do u know how to find the value of n?

Answer 3

sorry i cant figure it out. good luck

Answer 4

okay :) thanks!