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Create a factorable polynomial with a GCF of 6. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.

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Answer:

  • 6a +12b
  • 6(a +2b)
  • 3(2a +4b)

Step-by-step explanation:

For the GCF to be 6, terms of the polynomial must be multiples of 6, but must have no other common factors. A simple polynomial that meets this requirements is ...

  6a +12b

One equivalent form can be had by factoring 6 from the terms:

  6(a +2b)

Since 6 has a factorization of its own, another equivalent form can be had by factoring out one of the factors of 6. The ones of interest are 2 and 3, so we can write ...

  2(3a +6b)

or ...

  3(2a +4b)

Answer:

  • 6a+12b
  • 6(A+2b)
  • 3(2a+4b)

Step-by-step explanation:

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