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20 May, 12:40

Write the quadratic equation whose roots are 2 and - 5, and whose leading coefficient is 4.

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  1. 20 May, 12:41
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    4x² + 12x - 40 = 0

    Step-by-step explanation:

    Given the roots are x = 2 and x = - 5 then

    the factors are (x - 2) and (x + 5) and the product

    (x - 2) (x + 5) = 0 ← expand factors using FOIL

    x² + 5x - 2x - 10 = 0, that is

    x² + 3x - 10 = 0 ← multiply through by 4

    4x² + 12x - 40 = 0
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