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
4:
2, 2 (or)
4, 1 (or)
1, 4.
The correct factors are 4,
1 and
4, So m = 4, n =
1.
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 4 from each side)

Solve for second factor
.
Apply subtraction property of equality: If a = b then
.
(Add 1 to each side)

The roots are
4, and 1.