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10 September, 15:49

What value of g makes the equation true? (X-3) (x+5) = x2 + gx-15

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  1. 10 September, 17:02
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    g = 2

    Step-by-step explanation:

    Use FOIL:

    (a + b) (c + d) = ac + ad + bc + bd

    (x - 3) (x + 5) = (x) (x) + (x) (5) + (-3) (x) + (-3) (5)

    = x² + 5x - 3x - 15 = x² + 2x - 15

    (x - 3) (x + 5) = x² + gx - 15

    therefore g = 2
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