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Question: problem 5 show that for any distinct reals xj xi...

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Problem 5) Show that, for any distinct reals, (xj -xi) is a linearly independent set of polynomials. E.g. if z1-1,22-2,z3 = 3, the (z- 1)(z-2) (x-3)(x-1) (x -2)(x -3) (3-1)(32) (2- 3)(2-1) (1-2)(1-3) wt is {(3-1)(3-2) (2-3)(2-1) (1-2)(1-3)}

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