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Let f(x) polynomial of degree 5 with lea...

Let f(x) polynomial of degree 5 with leading coefficient unity such that f(1)=5, f(2)=4,f(3)=3,f(4)=2,f(5)=1, then f(6) is equal to

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Let f (x) be a polynomial of degree 5 with leading coefficient unity, such that f (1) =5, f (2) =4, f (3) =3, f (4)=2 and f (5)=1, then : Sum of the roots of f (x) is equal to :

Let f (x) be a polynomial of degree 5 with leading coefficient unity, such that f (1) =5, f (2) =4, f (3) =3, f (4)=2 and f (5)=1, then : Product of the roots of f(x) is equal to :

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Suppose f(x) is a polynomial of degree 5 and with leading coefficient 2009. Suppose further f(1)=1,f(2)=3,f(3)=5,f(4)=7,f(5)=9. What is the value of f(6)

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