Answer:
k = 3
Explanation:
given n - a is a factor of f(n) then f(a) = 0
here n - 1 is a factor then f(1) = 0
substitute n = 1 into the polynomial and equate to zero, that is
1³ - k + 2 = 0
1 - k + 2 = 0
3 - k = 0 ( subtract 3 from both sides )
- k = - 3 ( multiply both sides by - 1 )
k = 3