Answer:
no
Step-by-step explanation:
If (x + h) is a factor of f(x) then f(- h) = 0
Thus if (x + 7) is a factor of f(x) then f(- 7) = 0
f(- 7) = (- 7)³ - 3(- 7)² + 2(- 7) - 8
= - 343 - 147 - 14 - 8 = - 512 ≠ 0
Since f(- 7) ≠ 0 then (x + 7) is not a factor of f(x)
