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)
1, 12 (or) 12,
1 (or)
6, 2.
The correct factors are 6, 2 and
12, So m =
6, 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)
Solve for second factor .
Apply subtraction property of equality: If a = b then .
(Add 6 to each side)
The roots are 0, 2, and 6.