\"\"

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The given function is \"\".

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\"\"                              (Substitute f(x) = 0)

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Apply multiplication property of addition: If a = b then \"\".

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And multiply each side by \"\".

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\"\"

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\"\"           (Cancel common terms) \"\"

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Apply zero product property: \"\".

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\"\"

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The factors of \"\"6: \"\"3, 2 (or) \"\"2, 3 (or) \"\"6, 1 (or) \"\"1, 6.

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To find two numbers with a sum of \"\"1 and a product of \"\"6.

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The correct factors are \"\"3, 2 and \"\"6, So m = \"\"3, n = 2.

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Then write the factors form \"\".\"\"

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\"\"

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\"\"                   (Group terms with common factors)

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\"\"                    (Factors the grouping terms)

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\"\"                            (Take out common term \"\")

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Apply zero product property: If \"\" then a = 0 (or) b = 0.

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\"\" \"\"

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Solve for first factor \"\".

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Apply subtraction property of equality: If a = b then \"\".

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\"\"                                (Subtract 2 from each side)

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\"\"                                              (Apply additive inverse property: \"\")

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Solve for second factor \"\".

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Apply subtraction property of equality: If a = b then a + c = b + c.

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\"\"                                (Add 3 to each side)

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\"\"                                                  (Apply additive inverse property: \"\")\"\"

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The roots are \"\"2, and 3.