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Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two options.

2
4xy
12x
24
44y


Answer :

Answer:

  • [tex]4xy[/tex]
  • [tex]12x[/tex]

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[tex]36x^3,\:22x^2,\:4xy[/tex]

Factor 36x³

  • [tex]2\cdot \:2\cdot \:3\cdot \:3\cdot \:x\cdot \:x\cdot \:x\\[/tex]

Factor 22x²

  • [tex]11\cdot \:2\cdot \:x\cdot \:x[/tex]

Factor 4xy

  • [tex]2\cdot \:2\cdot \:x\cdot \:y[/tex]

Common factor

  • [tex]2x[/tex]

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[tex]36x^3-22x^2-12x[/tex]

Factor 36x³

  • [tex]2\cdot \:2\cdot \:3\cdot \:3\cdot \:x\cdot \:x\cdot \:x[/tex]

Factor 22x²

  • [tex]11\cdot \:2\cdot \:x\cdot \:x[/tex]

Factor 12x

  • [tex]2\cdot \:2\cdot \:3\cdot \:x[/tex]

Common factor

  • [tex]2x[/tex]

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