\"\"

\

The function is \"f.

\

The intersects the x-axis when f(x) = 0

\

\"x

\

\"x         (2x can be written as 6x\"minus\"4x)

\

\"x       (Take out common terms)

\

\"left               (Simplify)    

\

\"x        (Apply zero product property)

\

\"x                (Simplify)\"\"

\

Since the trinomial factors into two distinct factors,

\

the graph of the function intersects the x-axis 2 times.

\

The roots are \"x.