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29 June, 14:29

Factor the trinomial 7x2 - 3x - 4. Which pair of numbers has a product of ac and a sum of b? What is the factored form of the trinomial?

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  1. 29 June, 14:46
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    The factoring for this is easiest using the box method. If you don't know it, google "factoring binomials using box method." Its super easy and straight forward.

    7x^2 - 3x - 4

    (7x + 4) (x - 1)

    7x + 4 = 0 and x - 1 = 0

    x = - 4/7 and x = 1

    In this problem,

    a = 7

    b = - 3

    c = - 4

    a*c = 7 * (-4) = - 28

    Let m and n be our two numbers. We need

    m * n = - 28

    m + n = - 3

    Solve this system of equations to determine your two numbers!
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