A Quartic from Five Values

Difficulty: Hard · Topics: Algebra, Polynomials, Polynomial Equations

Beshta qiymatdan to‘rtinchi darajali ko‘phad

P(x) is a polynomial of degree 4 with

P(-1)=P(1)=P(2)=-12 and P(-2)=P(3)=0.

Find P(4).