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.