\"\"

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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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\"\" \"\"

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Apply zero product property: \"\".

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\"\"

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\"\"

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\"\"

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

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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 3 from each side)

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\"\"

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Solve for second factor \"\".

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

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\"\"                           (Add 2 to each side)

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\"\"

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\"\"

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The roots are 0, \"\"3, and 2.