Question

A parabola has x-intercepts at x=-3 and x=4. What the equation of the parabola?

Answer 1

x² - x - 12 = 0

Explanation:

Given the x- intercepts are x = - 3 and x = 4 , then the factors are

(x + 3) and (x - 4)

Expressing as a zero product

(x + 3)(x - 4) = 0 ← expand using FOIL

x² - x - 12 = 0