Write the quadratic ecuation whose roots are - 2 and 3

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