If `f(0)=1,f(1)=5" and "f(2)=11`, then the equation of polynomial of degree two is

If f(x) is a polynomial function of the second degree such that, f(-3)=6,f(0)=6" and "f(2)=11 , then the graph of the function, f(x) cuts the ordinate x = 1 at the point

If f(x) is a polynomial function of the second degree such that, f(-3)=6,f(0)=6" and "f(2)=11 , then the graph of the function, f(x) cuts the ordinate x = 1 at the point

If f(x) is a polynomial of degree 2 such that f(0) = 1,f(1) = 0 and f(3) = 5, find the domain of the function f such that f (x) is never negative.

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 3 such that f(3)=1,f'(3)=-1,f''(3)=0" and "f'''(3)=12 Then, the equal of f'(1) 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 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

f(alpha)=f'(alpha)=f''(alpha)=0,f(beta)=f'(beta)=f''(beta)=0 and f(x) is polynomial of degree 6, then