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29 August, 11:10

Factor the quadratic expression 3x to the 2nd power + 9x + 6

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  1. 29 August, 11:12
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    3 (x + 1) (x + 2)

    Step-by-step explanation:

    Given

    3x² + 9x + 6 ← factor out 3 from each term

    = 3 (x² + 3x + 2) ← factor the quadratic

    Consider the factors of the constant term ( + 2) which sum to give the coefficient of the x - term ( + 3)

    The factors are + 1 and + 2, since

    2 * 1 = 2 and 2 + 1 = 3, thus

    x² + 3x + 2 = (x + 1) (x + 2) and

    3x² + 9x + 6 = 3 (x + 1) (x + 2)
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