Introduction to Polynomial Factorization

This opening section introduces fundamental strategies for polynomial factorization. The content is structured to build understanding through examples and practice exercises.

Definition: Polynomial factorization is the process of breaking down a polynomial into the product of simpler polynomials.

Highlight: The section emphasizes three key factorization methods: common factors with notable identities, quadratic equations, and Ruffini's rule.

Example: The document demonstrates factorization of 12x³-60x²+75x into 3x(2x-5)², showing the step-by-step process.

Vocabulary: Notable identities include:

• a²+2ab+b² = (a+b)²
• a²-2ab+b² = (a-b)²
• a²-b² = (a+b)(a-b)