\"\"

\

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.