f(x) is a 6th degree polynomial satisfying f(1-x)=f(x+1) for all real values of x. If f(x) has four distinct real roots and two real and equal roots, then find the sum of all roots of f(x)=0.

Thre are precisely five distinct roods which add up to 5.

Posted by K Sengupta on 2022-07-15 02:58:03