help

Question

+1

20

2

+5

Let

$f$ be a cubic polynomial such that

$f(0) = 5$ ,

$f(1) = -5$ ,

$f(2) = 8$ , and

$f(3)=13$ . What is the sum of the coefficients of

$f$ ?

frozensssss Dec 6, 2024

eramsby1O1O · Answer 1 · 2024-12-07T12:07:47

Using polynomial interpolation, we can find that f(x) = -17/3*x^3 + 59/2*x^2 - 209/6*x + 5.

Therefore, the sum of the coefficients is -17/3 + 59/2 - 209/6 = -11.

Hope this helps!