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 15:
5,
3 (or)
3,
5 (or)
15,
1 (or)
1,
15.
The correct factors are
5,
3 and 15, So m =
5, 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 addition property of equality: If a = b then
.
(Add 3 to each side)

Solve for second factor
.
Apply subtraction property of equality: If a = b then
.
(Add 5 to each side)

The roots are 3, and 5.