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28 September, 22:01

What is the complete factorization of the polynomial below? X^3+3x^2-x-3

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Answers (1)
  1. 28 September, 22:29
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    (x + 3) (x + 1) (x - 1)

    Step-by-step explanation:

    Given

    x³ + 3x² - x - 3

    Factor the first/second and third/fourth terms

    = x² (x + 3) - 1 (x + 3) ← factor out (x + 3) from each term

    = (x + 3) (x² - 1) ← (x² - 1) is a difference of squares, hence

    = (x + 3) (x + 1) (x - 1) ← in factored form
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