Explanation:
No, this isn't the right logic to use.
The factor \((x-3)^{2}\) is a quadratic factor. Although this is the product of two linear factors, it still corresponds to one \(x\)-intercept. This \(x\)-intercept, however, smoothly touches the graph and turns back again, just like a parabola. Hence, there is only one \(x\)-intercept at \((3,0)\).