Question

Is this the graph of g(x) = (x-1)^2(x + 2) or h(x) = (x-1)(x + 2)^2?

Answer 1

The equation of the graph in factored form is f(x) = (x - 2)²(x + 2)

How to determine the equation in factored form

From the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

Zeros: x = 1 and -2

The zeros at x = -1 has a multiplicity of 2

So, we have the expression in factored form to be

f(x) = (x - 2)²(x + 2)

Hence, the expression in factored form is f(x) = (x - 2)²(x + 2)