Mathematics for IGCSE & O level - Equations (Section 7 - No. 27)

If the roots of a quadratic equation are x = 2 and x = -3, which of the following equations could represent this quadratic?

(x-2)(x+3)=0

(x+2)(x-3)=0

x² + x - 6 = 0

x² - x - 6 = 0

For the roots to be 2 and -3, the factors must be (x-2) and (x+3) which leads to (x-2)(x+3)=0. Expanding x² - x - 6 gives the roots as 2 and -3.