G(x) = x3 + 6x2 + 12x + 8 determine the function’s value when x = −1.

g(-1) = 1

Step-by-step explanation:

Synthetic division is by far the fastest way to evaluate this function at x = -1.  Set up synth. div. as follows:

-1   )   1    6    12    8

              -1    -5    -7

         1     5     7     1                

since the remainder is 1, g(-1) = 1