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1 May, 14:23

Factor & Finding Zeros

x^{2} + 12x+35=0

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Answers (1)
  1. 1 May, 17:25
    0
    x = - 7, x = - 5

    Step-by-step explanation:

    To factorise the quadratic

    Consider the factors of the constant term ( + 35) which sum to give the coefficient of the x - term ( + 12)

    The factors are + 7 and + 5, since

    7 * 5 = 35 and 7 + 5 = 12, hence

    x² + 12x + 35 = 0 ← in standard form

    (x + 7) (x + 5) = 0 ← in factored form

    Equate each factor to zero and solve for x

    x + 7 = 0 ⇒ x = - 7

    x + 5 = 0 ⇒ x = - 5
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