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30 December, 11:42

Which of the following represents the factorization of the trinomial below?

x^2 + 24x + 144

A. (x+12) (x-12)

B. (x+12) ^2

C. (x-12) (x-2)

D. (x-12) ^2

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Answers (1)
  1. 30 December, 13:02
    0
    B

    Step-by-step explanation:

    x² + 24x + 144 ← is a perfect square trinomial of the form

    (x + b) ² = x² + 2bx + b²

    Comparing the coefficients gives

    b² = 144 ⇒ b = 12 and 2b = 2 * 12 = 24, thus

    x² + 24x + 144 = (x + 12) ² → B
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