How Do You Determine a Cubic Polynomial from Given Values?

[TomJerry]

Question:
Find the cubic polynomial, which take the following values:
y(0) = 1, y(1)=0, y(2)=1 and y(3)=10
Hence obtain y(4).

 

[chiro]

I'll give a hint:

What is the general form of a cubic polynomial?

Can you use the values provided to come up with a linear system of equations?

 

[mathman]

http://en.wikipedia.org/wiki/Lagrange_polynomial

Above is general approach to this question.