Precalculus 2: Polynomials and rational functions — 94% Off Coupon

The Algebra 2 topics of polynomials and rational functions, preparing for studies of Calculus

4.9 3,403 students enrolledCreated by Hania Uscka-WehlouLast updated: 🌐 English

Course Overview — Key Details

A quick-reference summary of the most important course details: provider, instructor, difficulty, duration, and what the coupon covers.

•Course Title: Precalculus 2: Polynomials and rational functions
•Provider: Udemy (listed via CourseSpeak)
•Instructor: Hania Uscka-Wehlou
•Coupon Verified On: February 15, 2026
•Difficulty Level: All Levels
•Category: Teaching & Academics
•Subcategory: Polynomials
•Duration: 42h of on-demand video
•Language: English
•Access: Lifetime Access · Mobile & TV compatible
•Certificate: Certificate of completion included
•Top Learning Outcomes: How to solve problems concerning polynomials or rational functions (illustrated with 160 solved problems) and why these methods work. · Definition and basic terminology for polynomials: variable, coefficient, degree; a brief repetition about powers with rational exponents, and main power rules. · Arithmetical operations (addition, subtraction, multiplication) on polynomials; the polynomial ring R[x].
•Prerequisites: High-school mathematics, mainly arithmetic · Precalculus 1: Basic notions (mainly the concept of function and related concepts; sets; logic)
•Coupon: Click REDEEM COUPON below to apply discount
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What You'll Learn

Skills and competencies you'll gain from this Udemy course:

✓How to solve problems concerning polynomials or rational functions (illustrated with 160 solved problems) and why these methods work. .
✓Definition and basic terminology for polynomials: variable, coefficient, degree; a brief repetition about powers with rational exponents, and main power rules. .
✓Arithmetical operations (addition, subtraction, multiplication) on polynomials; the polynomial ring R[x]. .
✓Completing the square for solving second degree equations and plotting parabolas; derivation of the quadratic formula. .
✓Polynomial division: quotient and remainder; three methods for performing the division: factoring out the dividend, long division, undetermined coefficients. .
✓Vieta's formulas for quadratic and cubic polynomials; Binomial Theorem (proof will be given in Precalculus 4) as a special case of Vieta's formulas. .
✓The Remainder Theorem and The Factor Theorem with many applications; the proofs, based on the Division Theorem (proven in an article), are presented. .
✓Ruffini-Horner Scheme for division by monic binomials of degree one, with many examples of applications; the derivation of the method is presented. .
✓Factoring polynomials, its applications for solving polynomial equations and inequalities, and its importance for Calculus. .
✓Polynomials as functions: their domain, range, zeros, intervals of monotonicity, and graphs (just rough sketches). .
✓Behaviour of polynomials near to zero and in both infinities, and why it is important to understand these topics (Taylor polynomials); limits in the infinities. .
✓Rational functions: their definition, domain, zeros, (y-intercept), intervals of monotonicity, asymptotes (infinite limits), and graphs (just rough sketches). .
✓Application of factoring polynomials for solving *rational* equations and inequalities, and its importance for Calculus. .
✓Partial fraction decomposition and its importance for Integral Calculus; some simple examples of integration. .
✓Derivatives and antiderivatives of polynomials are polynomials; a brief introduction to derivatives. .
✓Derivatives of rational functions are rational functions; antiderivatives can also involve inverse tangent (arctan) and logarithm.

Course Requirements & Prerequisites

Background knowledge or tools recommended before starting this course:

•High-school mathematics, mainly arithmetic
•Precalculus 1: Basic notions (mainly the concept of function and related concepts; sets; logic)
•You will get a very brief introduction to *systems of linear equations* in this course (in Section 4), just enough for the needs of our applications (methods by undetermined coefficients, e.g. for partial fraction decomposition)
•You will get a very brief introduction to *complex numbers* in this course (in Section 5), just enough for the needs of our applications (factoring polynomials)
•You are always welcome with your questions. If something in the lectures is unclear, please, ask. It is best to use QA, so that all the other students can see my additional explanations about the unclear topics. Remember: you are never alone with your doubts, and it is to everybody's advantage if you ask your questions on the forum.

About This Udemy Course

Full course description including curriculum, tools covered, and learning methodology:

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About the Instructor

This course is taught by Hania Uscka-Wehlou. For full instructor bio, credentials, and other courses they teach, visit the instructor profile on Udemy.

•Instructor: Hania Uscka-Wehlou
•Field: Teaching & Academics
•Teaching Style: Practical, project-based learning (as described in course curriculum)

Is the Precalculus 2: Polynomials and rational functions Coupon Worth It?

Precalculus 2: Polynomials and rational functions is a teaching & academics course offered on Udemy by instructor Hania Uscka-Wehlou, spanning 42h of on-demand content. It holds a 4.9/5 rating from over 3,403 enrolled students.

Through CourseSpeak, you can access this course with a 94% discount coupon. The coupon was last verified on February 15, 2026. Udemy coupons are time-limited and claimed on a first-come basis — we recommend redeeming as soon as possible.

New to redeeming coupons? Visit our How to Redeem Udemy Coupon on CourseSpeak for detailed instructions on how to apply coupon codes.

✓ Our Take: Based on the rating (4.9/5) and enrollment numbers (3,403 students), this course appears well-regarded in its category. Use the coupon to access it at a significantly reduced price — and judge for yourself using Udemy's 30-day money-back guarantee.

Course Rating Summary

Aggregate rating data sourced from Udemy as of February 2026. For individual student reviews, visit the course page directly.

4.9
3,403 ratings
5 stars
75%
4 stars
15%
3 stars
6%
2 stars
2%
1 star
2%

* Rating distribution is estimated. For exact per-star counts, visit the Udemy course page.

Frequently Asked Questions

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