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AP Precalculus: Polynomial and Rational Functions

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Students often underestimate Polynomial and Rational Functions because it appears early in the syllabus, but AP questions here test application, not memorized definitions alone.

Analysis of polynomial and rational functions through algebraic structure, transformations, zeros, rates of change, and modeling. Expect questions involving Factoring, synthetic division, and solving polynomial equations; Behavior near vertical/horizontal/slant asymptotes and discontinuities; Modeling with polynomial and rational functions in context.

Mix MCQ practice with sketching diagrams or timelines from memory. AP Precalculus rewards recall under time pressure, not just recognition.

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