How to Learn Polynomial and Rational Functions

A structured path through Polynomial and Rational Functions — from first principles to confident mastery. Check off each milestone as you go.

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Estimated: 8 weeks

1-2 weeks

Understand polynomial terminology, find zeros by factoring, and apply the factor theorem.

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1 week

Analyze how multiplicity affects graph behavior at zeros. Sketch graphs using zeros and multiplicity.

1 week

Predict end behavior from degree and leading coefficient. Combine with zeros to sketch complete graphs.

2 weeks

Find vertical and horizontal asymptotes, identify holes, and graph rational functions.

1-2 weeks

Master long and synthetic division. Apply remainder theorem. Select regression models.

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