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Sometimes we may wish to distribute a secret amongst a group of people in such a way that it takes all of them (or a

Sometimes we may wish to distribute a secret amongst a group of people in such a way that it takes all of them (or a specic-sized subset of them) to determine the secret. One way to do this, especially if that secret is an integer, is to make the number the constant term in a polynomial and then give each person the coordinates of a point that satises the polynomial. In order to nd the secret number, the group of people would need to nd the polynomial that interpolated all of the points . Each of three people is given a dierent set of coordinates from the set {(1, 13), (2, -37), (3, -127)}. Find the quadratic that ts these points and write it in the form f(x) = c + bx + ax2

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