Find the polynomial P(x)P(x)P(x) of lowest degree that satisfies P(1)=1,P(2)=1,P(3)=1,P(4)=5P(1)=1, P(2)=1, P(3)=1, P(4)=5P(1)=1,P(2)=1,P(3)=1,P(4)=5.
x^3 - 6x^2 + 11x - 5
\frac{2}{3}(x-1)(x-2)(x-3) + 1
(x-1)(x-2)(x-3) + 1
x^3 - 6x^2 + 11x + 1