If `f(x)=x^4+ ax^3 + bx^2 + cx + d and f(1)=10, f(2)=20, f (3)=30` then find the value of `f (12)+f(-8)`.

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

If f(x) = ax+2 and f'(1)=3, then find the value of 'a'.

If f(x)=(ax-b)/(bx-a) , then find the value of f(1/x) .

Using matrix method, find the quadratic defined by f(x) = ax^(2) + bx + c if f(1) = 0, f(2) = -2 and f(3) = -6. Hence find the value of f(-1).

If f(x)=ax^(2)+bx+c and f(0) = 2, f(1) = 1, f(4) = 6, then find the valuse of a, b and c.

If f(x)=x^2+ax+bandf(1)=1,f(2)=2, find the value of f(3).