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23 March, 16:39

Factor completely. 5x^2+44x-9

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  1. 23 March, 17:21
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    (x + 9) (5x - 1)

    Step-by-step explanation:

    Given

    5x² + 44x - 9

    Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x - term.

    product = 5 * - 9 = - 45 and sum = + 44

    The factors are + 45 and - 1

    Use these factors to split the x - term

    5x² + 45x - x - 9 (factor the first/second and third/fourth terms)

    = 5x (x + 9) - 1 (x + 9) ← factor out (x + 9) from each term

    = (x + 9) (5x - 1) ← in factored form
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