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20 October, 00:43

What is the complete factorization of the polynomial below?

x^3 + 5x^2 - x-5

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Answers (1)
  1. 20 October, 00:48
    0
    (x-1) (x+1) (x+5)

    Step-by-step explanation:

    x^3+5x^2 - x-5=

    x^3-x+5x^2-5=

    x (x^2-1) + 5 (x^2 - 1) =

    (x^2 - 1) (x+5) = (*)

    (x-1) (x+1) (x+5)

    (*) A^2 - B^2 = (A-B) (A + B)
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