Consider that the remainder theorem states that when we divide a polynomial f(x)
by x-c, the remander R is equal to f(c).
Then, use synthetic division to find the remainder of f(x) divideby by x-c, with c=-5, as follow:
Use only the coefficient of f(x),
-1 4 -4 -6 -3 -6 -1 -2 l -5
5 -45 245 -1195 5990 -29920 149605
-1 9 -49 239 -1198 5984 29921 149603
The remainder is 149,603.
Then, you can conclude that the value of f(c) is:
f(-5) = 149,603
