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 30:
10, 3 (or) 3,
10 (or)
6, 5 (or) 5,
6 (or)
15, 2 (or)
2, 15.
The correct factors are 6, 5 and
30, So m =
6, n = 5.
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 5 from each side)
Solve for second factor .
Apply subtraction property of equality: If a = b then .
(Add 6 to each side)
The roots are 5, and 6.