Precalculus Practice Tests #2: Polynomial & Rational Function
A 20-question practice test with step-by-step video solutions, designed for AP, High School, and College Precalculus students. Get the Full 10-Test Precalculus Collection (200 problems solved) : https://www.patreon.com/collection/1722797-----
*This channel is dedicated to sharing the fun of mathematics and inspiring students around the world.*
*Big thanks to these Patreon members for building this with me.*
3Blue1Brown • Allison Lamery • Anthony Hunting • Anyway • Ben Delo • Caoimhe Seymour • charlie lewinski • Corey Rufener • CTAR • David I Miller • Doc Ockey • exchsac • Gramps • Hayden S • huguens nevelus • jappiesaus • Jessica • Johan Renko • Karl Tang-Wang • Manil Trivedi • Mark Pagura • MarkM • Mas • Michael ZHOU • Michelle Liang • Mister Hardware • Mizel Cluett • Nerd • Nicolai Lilly • Ricardo Murillo • Rohan • SaltyFishbutwithDream • Sebastian Correa • Sharnay Ampos • Steven McEwan • Subotai Baghatur • Terry Chang • Tomaz Mevlja • Torbjörn Karlsson • Whoever • Zero • Zhansu
(Updated: September 2026 https://www.patreon.com/blackpenredpen)
-----
#blackpenredpen #math #mathtutorials#blackpenredpen #math #mathtutorials
Timestamps:
00:00 Precalculus practice test #2
00:39 Q1, vertical asymptotes and holes
02:29 Q2, rational root theorem
07:08 Q3, domain and range with a hole
11:35 Q4, end behavior of polynomials
14:55 Q5, constructing polynomials from zeros
22:50 Q6, remainder theorem and synthetic division
28:53 Q7, hole coordinates
32:40 Q8, horizontal asymptotes
34:08 Q9, slant asymptotes
37:05 Q10, polynomial inequalities
40:47 Q11, rational inequalities
44:53 Q12, graphing polynomials and multiplicity
49:46 Q13, factoring by grouping
55:09 Q14, polynomial long division
59:55 Q15, finding roots with complex zeros
1:03:01 Q16, y-intercepts
1:04:07 Q17, one-sided limits at asymptotes
1:07:18 Q18, transformations of rational functions
1:12:34 Q19, constructing rational functions
1:15:49 Q20, solving cubic equations Receive SMS online on sms24.me
TubeReader video aggregator is a website that collects and organizes online videos from the YouTube source. Video aggregation is done for different purposes, and TubeReader take different approaches to achieve their purpose.
Our try to collect videos of high quality or interest for visitors to view; the collection may be made by editors or may be based on community votes.
Another method is to base the collection on those videos most viewed, either at the aggregator site or at various popular video hosting sites.
TubeReader site exists to allow users to collect their own sets of videos, for personal use as well as for browsing and viewing by others; TubeReader can develop online communities around video sharing.
Our site allow users to create a personalized video playlist, for personal use as well as for browsing and viewing by others.
@YouTubeReaderBot allows you to subscribe to Youtube channels.
By using @YouTubeReaderBot Bot you agree with YouTube Terms of Service.
Use the @YouTubeReaderBot telegram bot to be the first to be notified when new videos are released on your favorite channels.
Look for new videos or channels and share them with your friends.
You can start using our bot from this video, subscribe now to Precalculus Practice Tests #2: Polynomial & Rational Function
What is YouTube?
YouTube is a free video sharing website that makes it easy to watch online videos. You can even create and upload your own videos to share with others. Originally created in 2005, YouTube is now one of the most popular sites on the Web, with visitors watching around 6 billion hours of video every month.