Answer:
See attachment.
Step-by-step explanation:
The roots of the polynomial are:
[tex]x = - 2[/tex]
[tex]x = \frac{1}{3} [/tex]
[tex]x = 3[/tex]
The factors of this polynomial will therefore be:
[tex](x + 2)[/tex]
[tex](3x - 1)[/tex]
and
[tex](x - 3)[/tex]
The factored form is obtained as:
[tex]f(x) = (x + 2)(3x - 1)(x - 3)[/tex]
The graph of this polynomial has intercepts at x =-2, x= 1/3, and x=3.