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7 May, 10:09

Factor completely.

- 2x² + 20x - 48 =

What is the missing factor?

+1
Answers (2)
  1. 7 May, 11:08
    0
    2x (-X+12) - 4 (x-12) where the roots/answers are 4 and 6
  2. 7 May, 12:06
    0
    - 2 (x - 6) (x - 4)

    Step-by-step explanation:

    Given

    - 2x² + 20x - 48 ← factor out - 2 from each term

    = - 2 (x² - 10x + 24) ← factor the quadratic

    Consider the factors of the constant term ( + 24) which sum to give the coefficient of the x - term ( - 10)

    The factors are - 6 and - 4, since

    - 6 * - 4 = + 24 and - 6 - 4 = - 10, thus

    x² - 10x + 24 = (x - 6) x - 4) and

    - 2x² + 20x - 48 = - 2 (x - 6) (x - 4) ← in factored form
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