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.