Use the Factor Theorem to determine if – 2 is a factor of () = 2³ − 5x² + + 2.

  (x -2) is a factor

Step-by-step 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)

10 down (bang1)

5 up

5down (2)

2.5 up

2.5 down (3)

1.25 up

1.25 down (4)

now add them up : )

hoped i lol