Question

let f(x) is 4th degree polynomial such that f(x)=x for x=1 2 3 4 find f(x)​

Answer 1

Let the polynomial f(x) = (x+1)(x-2)(x+3)(x-4) + x²

This polynomial satisfies all the given conditions.

To find f(1), let us plug x=1 into the equation

f(1) = 2×-1×4×-3 + 1 = 24+1 = 25

Answer 2

Answer:

find value of 5 coeff. from these equations (if any) and put in f(x) , have fun