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2.3 Polynomial Equations and Functions

Understanding higher-degree polynomials, factoring, roots, and end behavior of polynomial graphs.

本节包含的知识点

  • 2.3.1 Polynomial Basics and Standard Form — Understanding polynomial structure including degree, coefficients, leading term, and standard form representation.
  • 2.3.2 Polynomial Factoring Techniques — Mastering various factoring methods including GCF, grouping, special products, and factoring by substitution.
  • 2.3.3 Roots and Zeros of Polynomials — Finding polynomial roots using the Rational Root Theorem, synthetic division, and understanding multiplicity of zeros.
  • 2.3.4 Polynomial Division and Remainder Theorem — Performing polynomial long division and synthetic division, and applying the Remainder and Factor Theorems.
  • 2.3.5 End Behavior and Graph Analysis — Analyzing polynomial function graphs including end behavior, turning points, local extrema, and sketching curves.
  • 2.3.6 Polynomial Equations and Applications — Solving polynomial equations and applying polynomial functions to real-world modeling problems.