egipto99 egipto99
  • 04-07-2020
  • Mathematics
contestada

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

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sqdancefan
sqdancefan sqdancefan
  • 04-07-2020

Answer:

  (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).

__

The graph shows us the complete factorization is ...

  g(x) = (2x +1)(x -1)(x -2)

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