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21 December, 01:50

Find the x-intercepts of f (x) = x2 + 7x + 10.

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  1. 21 December, 02:01
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    x = - 5, x = - 2

    Step-by-step explanation:

    Given

    f (x) = x² + 7x + 10

    To find the x - intercepts let f (x) = 0, that is

    x² + 7x + 10 = 0 ← in standard form

    (x + 2) (x + 5) = 0 ← in factored form

    Equate each factor to zero and solve for x

    x + 2 = 0 ⇒ x = - 2

    x + 5 = 0 ⇒ x = - 5

    The x - intercepts are ( - 5, 0) and ( - 2, 0)
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