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jcherry99

Answer:

(x - 12)(x^2 - 2) or (x - 12)(x + sqrt(2) ) (x - sqrt(2))

Step-by-step explanation:

  • It looks like grouping is the quickest way to do this.
  • Put brackets around the 1st and second trems and around the 3rd and 4th terms.
  • (x^3- 12x^2) - (2x -24)   Pull out x^2 from the first 2 terms and 2 from the last 2.
  • x^2(x - 12) - 2(x - 12)      Now pull out x - 12 which is common on either side of the minus
  • (x - 12)(x^2 - 2) You can leave this as it is, or you can factor x^2 - 2 into
  • x^2 - 2: (x + sqrt(2) ) ( x - sqrt(2) )
  • (x - 12)(x - sqrt(2) ) (x + sqrt(2) )
  • Just to show you that these are possible factors, I've included a graph.
  • The sqrt(2) = 1.4142
  • The exact answer depends on your answer choices.
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