Question

Help please!

Which equation is best represented by the graph above?


A. (x + 1)(x - 3)(x + 2)

B. (x - 1)(x + 3)(x + 2)

C. (x - 1)(x - 3)(x + 2)

D. (x + 1)(x + 3)(x - 2)

Answer 1

`(x-1)(x-3)(x+2)`

Explanation:

The x-intercepts of the graph are;

`x=-2,x=1,x=3`.

We can work backwards to obtain,

`x+2=0,x-1=0,x-3=0`

Multiplying the left hand side separately and the right hand side separately, we obtain,

`(x+2)(x-1)(x-3)=0`

Therefore the solution is best represented by

`(x-1)(x-3)(x+2)`