Question

Write the equation of the graph shown below in factored form:

A) Of(x) = (x - 1)^2(x - 1)(x + 3)
B) Of(x) = (x - 1)^2 (x + 1)(x - 3)
C) Of(x) = (x + 1)^2(x + 1)(x + 3)
D) Of(x) = (x - 1)^2(x - 1)(x - 3)

Answer 1

The equation of the graph in factored form is (x - 1)^2(x + 1)(x - 3), option B.

Step-by-step explanation:

The equation of the graph can be written in factored form as Of(x) = (x - 1)^2(x + 1)(x - 3), which corresponds to option B.

To get this factored form, we need to first identify the x-intercepts of the graph.

From the given equation, we can see that the x-intercepts are 1, -1, and 3. These values correspond to the factors (x - 1), (x + 1), and (x - 3) respectively. Since the exponents are 2 for (x - 1), we have (x - 1)^2.