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Answer:
k = 6
Step-by-step explanation:
If (x - 2) is a factor of f(x) then f(2) = 0
f(x) = x² + x - k , then
2² + 2 - k = 0
4 + 2 - k = 0
6 - k = 0 ( subtract 6 from both sides )
- k = - 6 ( multiply both sides by - 1 )
k = 6