Answer:
x = 0 , x = 3
Explanation:
y = - 2x(x - 3)²
to find the x- intercepts, where the graph crosses the x- axis, let y = 0
- 2x(x - 3)² = 0 ← product of factors on left
equate each factor to zero and solve for x
- 2x = 0 ⇒ x = 0
(x - 3)² = 0
x - 3 = 0
x = 3 with multiplicity 2
the x- intercepts are x = 0 and x = 3