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27 July, 22:33

Factor the following polynomial completely.

2x2 - 10x - 28

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Answers (1)
  1. 28 July, 02:24
    0
    2 (x - 7) (x + 2)

    Step-by-step explanation:

    Given

    2x² - 10x - 28 ← factor out 2 from each term

    = 2 (x² - 5x - 14) ← factor the quadratic

    Consider the factors of the constant term ( - 14) which sum to give the coefficient of the x - term ( - 5)

    The factors are - 7 and + 2, since

    - 7 * 2 = - 14 and - 7 + 2 = - 5, thus

    x² - 5x - 14 = (x - 7) (x + 2) and

    2x² - 10x - 28 = 2 (x - 7) (x + 2)
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