Suppose f is a polynomial such that f(0) = 47, f(1) = 32, f(2) = -13, and f(3)=16. What is the sum of the coefficients of f?
Here is how that works
suppose polynomial is 3x ^2 + 2x -4 when x = 0:
0 + 0 - 4 then when x = 1 :
3 + 2 -4 now subtract when x = 0 from when x =1
3 + 2 -4 - -4 = 3+2 = 5 which is the sum of the coefficients !