Question

Y=x^2+x-6 what is the x intercepts and how do you get the x intercepts

Answer 1

x = - 3, x = 2

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