Answer:
2 is the answer that I would give. The question says distinct solutions does this graph have.
Step-by-step explanation:
You are asked only how many times this crosses the x axis. You are not asked for an exact value. So the thing to do is graph the polynomial.
y = x^3 - 3x^2 + 4
The graph says that x = -1 with a multiplicity of 1
It also says that x=2 is a solution with a multiplicity of 2 (meaning there are 2 roots are the same).
So this polynomial factors into y = (x + 1)(x - 2)(x - 2)
