Question

What are the x-intercept(s) of the graph of y + 6 = x2 − x?

a. (−2, 0) and (3, 0)
b.(−2, 0) and (−3, 0)
c.(2, 0) and (−3, 0)
d.(2, 0) and (3, 0)

Answer 1

Plug in y = 0 and solve for x

y + 6 = x^2 − x

0 + 6 = x^2 − x

6 = x^2 - x

x^2 - x - 6 = 0

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

See where to go from here?