The given function is
.
(Substitute f(x) = 0)
Apply multiplication property of addition: If a = b then
.
And multiply each side by
.
Apply zero product property:
.



The factors of
6:
3, 2 (or) 3,
2 (or)
1, 6 (or) 6,
1.
The correct factors are 3,
2 and
6, So m = 3, n =
2.
Then write the factors form
.

(Group terms with common factors)
(Factors the grouping terms)
(Take out common term
)
Apply zero product property: If
then a = 0 (or) b = 0.
Solve for first factor
.
Apply subtraction property of equality: If a = b then
.
(Subtract 3 from each side)

Solve for second factor
.
Apply subtraction property of equality: If a = b then
.
(Add 2 to each side)

The roots are 0,
3, and 2.