The function has only four distinct roots, each of which is real. Let the four roots be and in no particular order. Also let denote the first derivative of Evaluate
The function has four positive roots. We are also given that
What is the value of
If are real numbers such that then what is the value of ?
Let and be a polynomial with integer coefficients. When is divided by , it leaves quotient and remainder , both of which have integer coefficients.
If ,then find .
How many real roots does the polynomial above have?