If f(x) is a quadratic function and f(2) = 1, f(3) = 6 and f(-1) = 10, find f(x) and show that, f(1) = 0.

If f(x) is a quadratic function such that f(0)=3,f(1)=6 and f(2)=11 , then: f(x)=

If f(x) is a quadratic function and f(1) = 5,f(-1) = 11 and f(2) = 8, find the value of f(-2).

If f(x) is a quadratic function such that f(0)=2, f(1) =3 and f(4) =42, find the value of f(5) .

If f(x)=a x^2+b x+c is a quadratic function such that f(1)=8,f(2)=11 and f(-3)=6 find f(x) by using determinants. Also, find f(0)dot

If f(x)=ax^(2)+bx+c is a quadratic function such that f(1)=8,f(2)=11 and f(-3)=6 find f(x) by using determinants. Also,find f(0) .

If f(x) = ax^(2) + bx + x and f(2) = 1, f(3) = 6, f(-1) = 10, then find the value of f'(1).

If f(x) is odd function and f(1) = a, and f(x+2) = f(x)+ f(2) then the value of f(3) is

If f(x) is a quadratic polynomial such that f(0) = 2, f(0) = -3 and f'(0) = 4 , then int_(-1)^(1) f(x) dx equals: