Answer:
x = - 3, x = 2
Step-by-step explanation:
To find the x- intercepts let y = 0 , that is
x² + x - 6 = 0 ← in standard form
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)
The factors are + 3 and - 2 , since
3 × - 2 = 6 and 3 - 2 = + 1 , then
x+ 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
