Q29 of 43 Page 12

f(x) = (x – a1) (x – a2)…. (x – an) what is ? For some a ≠ a1, a2….an, compute .


Since f(x) is a polynomial of degree n, the could be found by putting x - a1 in f(x).

Thus = (a1 - a1) (a1 - a2)….. (a1 - an) = 0

Similarly,

                 = (a - a1) (a1 - a2)….. (a - an)

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