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3 August, 04:33

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

x^2 + 6x + 9

A. (x+2) (x-3

B. (x-3) ?

C. (x-2) (x-3)

D. (x+3) ?

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Answers (1)
  1. 3 August, 05:13
    0
    (x + 3) ²

    Step-by-step explanation:

    Given

    x² + 6x + 9

    This is a perfect square of the form

    (x + a) ² = x² + 2ax + a²

    Compare like terms

    a² = 9 ⇒ a = 3 and 2a = 2 * 3 = 6, thus

    x² + 6x + 9 = (x + 3) ² → D
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