Question

let f(x) be a fourth degree polynomial with coefficient of x^4 is 1 such that f(-1)=1, f(2)= 4, f(-3) = 9, f(4)= 16 then f(1)=?

Answer 1

since,  f(-1)  =  1,    f(2) = 2,   f(-3) = 9       &       f(4) = 16
therefore f(1) = 1       (because in all the above expressions the answer is the square of the given value)