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

The factors of
6:
3, 2 (or)
2, 3 (or)
6, 1 (or)
1, 6.
To find two numbers with a sum of
1 and a product of
6.
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 2 from each side)
(Apply additive inverse property:
)
Solve for second factor
.
Apply subtraction property of equality: If a = b then a + c = b + c.
\
(Add 3 to each side)
(Apply additive inverse property:
)
The roots are
2, and 3.