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Sullivan Algebra and Trigonometry: Section R.5 Factoring

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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Sullivan Algebra and Trigonometry: Section R.5 Factoring

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  1. Sullivan Algebra and Trigonometry: Section R.5Factoring • 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

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

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

  4. 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:

  5. Example: Factor Completely: Factor Completely:

  6. Look for factors of 18 whose sum is 11.

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

  8. Factor By Grouping:

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