A Quartic Through Five Fractions

Difficulty: Hard · Topics: Algebra, Polynomials

Beshta kasrdan o‘tuvchi to‘rtinchi darajali ko‘phad

P(x) is a polynomial of degree 4 with

P(0)=0,\ P(1)=1/2,\ P(2)=2/3,\ P(3)=3/4,\ P(4)=4/5.

Find P(5).