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16 May, 00:36

How to factor x ² + 8x + 15?

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  1. 16 May, 02:07
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    (x + 5) (x + 3)

    Step-by-step explanation:

    Given

    x² + 8x + 15

    Consider the factors of the constant term ( + 15) which sum to give the coefficient of the x - term ( + 8)

    The factors are + 5 and + 3, since

    5 * 3 = 15 and 5 + 3 = 8, thus

    x² + 8x + 15 = (x + 5) (x + 3) ← in factored form
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