please explain why. Thanks

Answer:
No
Step-by-step explanation:
By the Factor theorem
If (x - h) is a factor of f(x) then f(h) = 0
Here (x - 2) with h = 2 and
f(x) = x³ - 3x² - x + 7 , then
f(2) = 2³ - 3(2)² - 2 + 7 = 8 - 3(4) + 5 = 8 - 12 + 5 = 1
Since f(2) ≠ 0 then (x - 2) is not a factor of f(x)