You are given f(x) = x4 - 3x3 - kx - 5. When f(x) is divided by x + 3 the remainder is 169.
What is the value of K?
Here is one way:
Thx, alan...here's another way using synthetic divsion
-3 [ 1 - 3 0 -k -5 ]
- 3 18 -54 3k + 162
_______________________________
1 -6 18 - k - 54 3k + 157
So
3k + 157 = 169
3k = 169 - 157
3k = 12
k = 4
Here is another way:
Ooops....made an error in the last step:edited