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9 November, 07:23

Which shows the factored form of x2 - 12x - 45?

(x + 3) (x - 15)

(x - 3) (x - 15)

(x + 3) (x + 15)

(x - 3) (x + 15)

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  1. 9 November, 08:22
    0
    Hi!

    (x+a) · (x+b) = x²+xa+xb+ab = x²-12x-45

    x² = x²

    xa+xb = (a+b) x = - 12x ⇒ (a+b) = - 12

    ab = - 45

    When (a+b) = - 12 and ab = - 45?

    +3-15 = - 12 and (+3) (-15) = - 45

    -3-15 = - 18 and (-3) (-15) = + 45

    +3+15 = + 18 and (+3) (+15) = + 45

    -3+15 = + 12 and (-3+15) = - 45

    Answer:

    (x+3) (x-15)
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