Allarefreeonthisday Allarefreeonthisday
  • 28-03-2020
  • Mathematics
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Factor by grouping x^3-4x^2+7x-28

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altavistard
altavistard altavistard
  • 29-03-2020

Answer:

(x - 4)(x^2 + 7)

Step-by-step explanation:

x^2 is a factor of the first two terms:  x^3 - 4x^2 = x^2(x - 4).

7 is a factor of the last two terms:  7(x - 4).  

Note how (x - 4) is a factor of the entire four-term expression given above.

Then:   x^3-4x^2+7x-28 = (x - 4)(x^2 + 7)

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