Find `ax^(p)+bx^(q)+c` to be polynomial p & q are:

The polynomial p(x) is such that for any polynomial q(x) we have p(q(x))=q(p(x)) then p(x) is

If p - q is a factor of the polynomial p^(n)-q^(n) , then n is ________.

If p + q is a factor of the polynomial p^(n)-q^(n) , then n is ______.

Find the condition that zeroes of polynomial p(x) = ax^(2)+bx+c are reciprocal to each other.

If the polynomial (ax^(p)+bx^(q)-3) be divided by (x - a) and (x - b), the remainder in both the cases is (-1). Prove that (a^(p+1)-b^(q+1))/(b^(p-1)-a^(q-1))=ab

The polynomial px^(3)+4x^(2)-3x+q completely divisible by x^2-1: find the values of p and q. Also for these values of p and q factorize the given polynomial completely.

p(x) is a polynomial of degree 1 and q(x) is a polynomial of degree 2. What kind of the polynomial p(x) xx q(x) is ?