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Answer:

x² - 2x - 15 = 0

Step-by-step explanation:

Given that the roots are x = - 3 and x = 5

Then the factors are (x + 3) and (x - 5)

The equation is then the product of the factors

(x + 3)(x - 5) = 0 ← expand left side using FOIL

x² - 5x + 3x - 15 = 0, that is

x² - 2x - 15 = 0