3. Given that for integer n>1. By considering f(x) and f '(x), show that is true for all polynomials g(x) with integer coefficients. Hence or otherwise

a) Show that is divisible by 64 for all integers n>1

b) Show that the equation does not have any real root other than 1

4. If is a root of the equation where b and c are constants. Find the value of bc.

Answer:

4. bc=-16