The leading coefficient of a polynomial `f(x)` of degree 3 is 2006 . Suppose that `f (1)=5,f (2)=7 and f (c ) = 9` . Then find `f (x)` .

Find a polynomial f(x) of degree 2 where f(0)=8, f(1)=12, f(2)=18

If f(x) is a polynomial function of the second degree such tha f(0)=5, f(-1)=10 and f(1)= 6 then f(x)=_____.

If f(x) is a polynomial of degree three with leading coefficient 1 such that f(1)=1,f(2)= 4,f(3)=9 then

If f(x) is a polynomial of degree 2, such that f(0)=3,f'(0)=-7,f''(0)=8 int_(1)^(2)f(x)dx=

Let f(x) be a polynomial of degree 6 with leading coefficient 2009. Suppose further that f(1) =1, f(2)=3, f(3)=5, f(4)=7, f(5) =9, f'(2)=2. Then the sum of all the digits of f(6) is

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 : 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 :

Let f(x) be polynomial of degree 4 with roots 1,2,3,4 and leading coefficient 1 and g(x) be the polynomial of degree 4 with roots 1,1/2,1/3 and 1/4 with leading coefficient 1. Then lim_(xto1)(f(x))/(g(x)) equals