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References: Factoring Polynomials

  1. Factorization - Wikipedia - Broad overview of factoring in algebra, covering polynomial factorization, common techniques, and the relationship between factored and expanded forms of expressions.

  2. Difference of two squares - Wikipedia - Explains the identity \(a^2 - b^2 = (a+b)(a-b)\) with proofs, geometric interpretations, and examples, directly supporting the chapter's difference-of-squares factoring pattern.

  3. Quadratic equation - Wikipedia - Covers methods for solving quadratic equations, including factoring, and explains the zero-product property used to find roots once an equation is factored.

  4. Algebra 1 (Common Core Edition) - Randall I. Charles - Prentice Hall/Pearson - Chapters on factoring polynomials present GCF, trinomial factoring, special products, and grouping with graduated practice sets matching this chapter's sequence.

  5. Big Ideas Math: Algebra 1 - Ron Larson and Laurie Boswell - Big Ideas Learning - Provides a full unit on solving quadratic equations by factoring, including the zero product property and factoring completely, with guided examples.

  6. Special Factoring: Differences of Squares - Purplemath - Step-by-step lesson on recognizing and factoring difference-of-squares expressions, with multiple worked examples that reinforce this chapter's special patterns section.

  7. Factoring - Math Is Fun - Introduces factoring as reverse multiplication, covering common factors, special identities like difference of squares and perfect squares, and multi-step factoring.

  8. Zero Product Property - Math Is Fun - Clear explanation of the zero product property with worked examples solving equations like \((x-5)(x-3)=0\), directly matching this chapter's equation-solving section.

  9. Factoring Polynomials - GeeksforGeeks - Comprehensive reference covering common-factor extraction, grouping, splitting the middle term for trinomials, and worked practice problems reinforcing multiple techniques from this chapter.

  10. Solving Quadratic Equations by Factoring - Purplemath - Details the four-step factoring method for solving quadratics and explains the zero-factor property, connecting factoring skills to equation solving as covered in this chapter.