Engineering
Mathematics
polynomial function
Question
Let f(x) be a monic polynomial of degree = 5 such that f(1) = 1, f(2) = 2, f(3) = 3, f(4) = 4 and f(5) = 5. If f(6) = 5! + λ, then find the value of λ.
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Solution
f(6) = (x – 1) (x – 2) (x – 3) (x – 4) (x – 5) + x
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