Answer:
(x -2) is a factor
Explanation:
The factor theorem tells you that (x-2) is a factor of g(x) if g(2) = 0.
g(2) = 2·2³ -5·2² +2 +2 = 16 -20 +2 +2 = 0
Since g(2) = 0, (x -2) is a factor of g(x).
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The graph shows us the complete factorization is ...
g(x) = (2x +1)(x -1)(x -2)