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
12:
4, 3 (or)
3, 4 (or)
12, 1 (or)
1, 12.
The correct factors are
4, 3 and
12, So m =
4, n = 3.
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 4 to each side)

The roots are
3, and 4.