Hello, amak!

Are there typos in the problem?

What is the cubic eqaution for the follwing coordinates?

. . (1,10), (2,23), (3,38), (4,55), (5,74), (6,96), (7,120), (8,149)

There isnocubic that passes through these points!

In fact, the first five points lie on a parabola: .

. . and the other three points are quite "close" to the parabola.