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12 January, 20:32

If one factor of x2 + 2x - 24 is (x+6), what is the other factor?

eOf

(x+8)

(x-8)

(x+4)

(x-4)

+4
Answers (1)
  1. 12 January, 20:57
    0
    (x - 4)

    Step-by-step explanation:

    Given

    x² + 2x - 24

    Consider the factors of the constant term ( - 24) which sum to give the coefficient of the x - term ( + 2)

    The factors are + 6 and - 4, since

    6 * - 4 = - 24 and 6 - 4 = + 2, thus

    x² + 2x - 24 = (x + 6) (x - 4) ← in factored form

    Thus the other factor is (x - 4)
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