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11 March, 18:06

Write the quadratic ecuation whose roots are - 2 and 3

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  1. 11 March, 20:34
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    x² - x - 6 = 0

    Step-by-step explanation:

    Given that the roots are x = - 2 and x = 3, then the factors are

    (x - ( - 2)) and (x - 3), that is (x + 2) and (x - 3)

    The equation is the product of the factors

    (x + 2) (x - 3) = 0 ← expand factors using FOIL

    x² - x - 6 = 0
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