A quadratic equation y graph has x² + x - 6 - Work out the x-intercepts of the graph.

Question

asked May 17, 2024 34.2k views

1 Answer

Timmow · Answer 1 · 2024-05-23T03:37:40+0000

Answer:

x- intercepts are x = - 3 and x = 2

Explanation:

given

y = x² + x - 6

to find the x- intercepts , lrt y = 0 , that is

x² + x - 6 = 0 ← in standard form

(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

the x- intercepts are positioned at x = - 3 and x = 2

or (- 3, 0 ) and (2, 0 ) ← in coordinate form