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 out of 5(3,581 students enrolled)Created by Hania Uscka-WehlouLast updated: 🌐 English

Course Overview - Key Takeaways

The following summarizes all verified data points for this course, including pricing, duration, instructor, and coupon validity. All data is sourced directly from Udemy and verified by CourseSpeak on .

•Course Title: Precalculus 2: Polynomials and rational functions
•Provider: Udemy (listed via CourseSpeak)
•Instructor: Hania Uscka-Wehlou
•Coupon Verified On: July 4, 2026
•Difficulty Level: All Levels
•Category: Teaching & Academics
•Subcategory: Polynomials
•Duration: 42h of on-demand video
•Language: English
•Access: Lifetime access to all course lectures and updates
•Certificate: Official certificate of completion issued by Udemy upon finishing all course requirements
•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)
•Price: $9.99 with coupon / Regular Udemy price: $179.99. Applying this coupon saves you $170.00 (94% OFF).
•Coupon: Click REDEEM COUPON below to apply discount
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What You'll Learn

This course gives you the following verified skills and competencies in Teaching & Academics:

✓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

The following background knowledge and tools are recommended before starting this course. Students without these prerequisites may still enroll but should expect a steeper learning curve:

•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

The following is the full official course description as published on Udemy by instructor Hania Uscka-Wehlou. It covers the curriculum structure, teaching methodology, and topic scope for this Teaching & Academics course:

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

Expert review by Josh Smith, Lead Course Reviewer at CourseSpeakUpdated Jul 4, 2026

Based on analysis of the curriculum structure, student engagement metrics, and verified rating data, this is a high-value resource for learners seeking to build skills in Teaching & Academics. Taught by Hania Uscka-Wehlou on Udemy, the 42h course provides a structured progression from foundational concepts to advanced techniques— making it suitable for learners at all levels. The current coupon reduces the price by 94%, from $179.99 to $9.99, removing the primary financial barrier to enrollment.

Pros

  • ✓Verified 94% price reduction.
  • ✓High learner satisfaction (4.9/5).
  • ✓Trusted by 3,581 students.
  • ✓Certificate + lifetime access.

Cons

  • !May be challenging for absolute beginners.
  • !Lifetime access depends on Udemy.
  • !Projects & quizzes need extra time.
JS
Josh Smith
Lead Course Reviewer
Credentials →

"Given the 94% price reduction and verified 4.9-star rating, Precalculus 2: Polynomials and rational functions is a strong value in Teaching & Academics on Udemy. Enrollment recommended while the coupon is active."

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Final Verdict: Worth It
Exceptional value with current pricing
New to redeeming coupons? Visit our step-by-step guide for detailed instructions on how to apply coupon codes.Coupon last verified July 4, 2026.Udemy coupons are time-limited — redeem as soon as possible.

Course Rating Summary

This course holds an aggregate rating of 4.9 out of 5 based on 3,581 student reviews on Udemy. The distribution below shows the approximate percentage of students who gave each star rating.

4.9
3,581 Verified Ratings
5 stars
75%
4 stars
15%
3 stars
6%
2 stars
2%
1 star
2%

* Rating distribution is approximated from the aggregate score. Sourced from Udemy. Last verified: July 4, 2026.

Instructor Profile

Background information on Hania Uscka-Wehlou, the instructor responsible for this course on Udemy.

HU
Hania Uscka-Wehlou
Udemy Instructor
Full Profile ↗
Subject Area
Teaching & Academics
Total Students
3,581+ enrolled
Rating
4.9 / 5.0
Course Duration
42h
Teaching Approach
Practical, project-based instruction focused on real-world application of Teaching & Academics skills. This course provides structured progression from foundational concepts to advanced techniques.

Frequently Asked Questions

The following questions and answers cover the most common queries about this course, its coupon code, pricing, and enrollment process. All answers are based on verified data from Udemy as of July 4, 2026.

About the Author

Josh Smith
Josh Smith
Udemy Coupon Specialist

8+ years finding and verifying the best Udemy deals. Helped thousands of students save on premium courses through curated coupon codes and exclusive discounts.