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Sullivan Algebra and Trigonometry: Section R.5 Factoring Objectives of this Section Factor the Difference of Two Squares Factor the Sum and Difference of Two Cubes Factor Second Degree Polynomials Factor By Grouping

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The process of expressing a polynomial as a product of other polynomials is called factoring. Example Multiply: Factoring is the same process in reverse

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Factor: Notice that each term in this trinomial has a greatest common factor of 3x.

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Special Formulas When you factor a polynomial, first check whether you can use one of the special formulas shown in the previous section. Difference of Two Squares: Perfect Squares: Sum of Two Cubes: Difference of Two Cubes:

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Example: Factor Completely:

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Look for factors of 18 whose sum is 11.

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Factors of -10 10, -1 5, -2 -5, 2 -10, 1 Sum 9 3 -3 -9

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Factor By Grouping:

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