1. f(x) =

2. Remember that for (x-2) to be a factor, then when we divide f(x) by (x-2) the remainder must equal zero.

3. Use synthetic division to find the remainder when divided by (x-2):

2 |      1                      -k                    k                      16

                        2                      (4-2k)            (8-2k)

             1                     (2-k)               (4-k)               (24-2k)

The remainder is (24-2k), so for that to equal zero, k must equal 12.

If k=12, then the above result would be:        1          -10      -8        0                     

Therefore we could factor f(x) =  = f(x) =