Factoring 100 Polynomials In One Take!
We will factor 100 polynomials in one take! These problems are designed for Algebra, Precalculus, and Calculus students, and we go through every key technique from factoring the greatest common factors, trinomials, and special products (difference of squares, sum/difference of cubes) to advanced methods like factoring by grouping, synthetic division, substitution, quartic equations, and Sophie Germain’s Identity.-----
Get my "100 Everything" problem collections 👉 https://www.patreon.com/blackpenredpen/posts/100-factoring-168753850
🛍 Shop my math t-shirts & hoodies: 👉 https://amzn.to/3qBeuw6
#blackpenredpen #calculus
-----
*This channel is dedicated to creating helpful calculus tutorials for high school and college students around the world. Thank you 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 • Matthias Beeler • bontle sjm • 博鈞 林
(Updated: October 2026 https://www.patreon.com/blackpenredpen)
-----
#blackpenredpen #math #mathtutorials #100polynomials
*Note, we will use real numbers and polynomials with integer coefficients*
0:00 100 polynomial factoring problems
Q1, 01:03, 3x²y²+12xy⁵
Q2, 03:18, 5y³-15y²+10y
Q3, 05:24, 4a²b-8ab²+12ab
Q4, 06:34, x²-9
Q5, 08:35, 16x²-25
Q6, 09:08, 49-9y²
Q7, 09:55, 8x³-27
Q8, 13:02, 125y³+64
Q9, 14:34, 8x³+8
Q10, 15:51, difference of two squares with binomials
Q11, 17:50, difference of two cubes with binomials
Q12, 20:24, a²-2a-24
Q13, 21:28, b²+3b-40
Q14, 22:02, 2x²-22x+56
Q15, 23:27, 3x²+39x+126
Q16, 24:06, 2x²+7x+3
Q17, 25:51, 3y²-10y+8
Q18, 27:24, 10a²+26a-12
Q19, 29:03, 6b²-11b-10
Q20, 30:01, 4x²+12x+9
Q21, 31:20, 25y²-20y+4
Q22, 32:20, x³+3x²+2x+6
Q23, 33:57, 2y³-4y²+3y-6
Q24, 35:08, ax+ay+bx+by
Q25, 36:35, x³-x²-4x+4
Q26, 38:31, 2x³-11x²+13x-4
Q27, 46:21, 3x³-10x²-23x-10
Q28, 49:50, 81y⁴-1
Q29, 51:33, x⁴-5x²+4
Q30, 53:02, y⁴-10y²+9
Q31, 53:44, 2a³-16
Q32, 55:15, difference of squares with quadratic terms
Q33, 57:26, 12x²-27
Q34, 58:34, 2x³-8x
Q35, 59:25, x²y-4y-3x²+12
Q36, 01:01:06, x²+2xy+y²-9
Q37, 01:02:59, a²-4a+4-b²
Q38, 01:06:27, x⁶-64
Q39, 01:09:03, x⁶+1
Q40, 01:10:32, 8x⁶-27y³
Q41, 01:12:06, x⁴+3x²-4
Q42, 01:13:22, 2x⁴-7x²-4
Q43, 01:14:29, x³+6x²+11x+6
Q44, 01:16:55, x³-4x²-7x+10
Q45, 01:19:28, x³-12x-16
Q46, 01:23:59, x³-3x²-9x-5
Q47, 01:26:38, x⁴-2x³-7x²+8x+12
Q48, 01:34:40, a³+b³+a+b
Q49, 01:35:48, x³-y³-x+y
Q50, 01:37:16, x²-4xy+4y²-25z²
Q51, 01:39:15, 4a²-12ab+9b²-16c²
Q52, 01:40:39, x⁴-17x²+36x-20 * Thanks to @thomaspangnt & @Siam-k6p2w, it should be x²+3x-10, so (x+5)(x-2)
Q53, 01:44:36, x⁵-x²
Q54, 01:45:17, y⁵-16y
Q55, 01:46:10, x³+5x²-4x-20
Q56, 01:47:22, 3x³-30x²+75x
Q57, 01:48:56, 16x⁴-81y⁴
Q58, 01:50:15, a²b²-a²-b²+1
Q59, 01:52:06, x²-4xy-16x+64y
Q60, 01:53:25, 5x³-35x+30
Q61, 01:56:15, x⁴-4x³+27
Q62, 02:01:08, x⁴+4x+3
Q63, 02:03:58, x⁴-7x²+1
Q64, 02:07:32, x⁴+64
Q65, 02:10:07, 4x⁴+1
Q66, 02:12:08, x³+3x²+3x+1
Q67, 02:14:33, x³-6x²+12x-8
Q68, 02:16:16, 64x³-x
Q69, 02:17:26, (x+1)³-8
Q70, 02:19:30, (5y-2)³+27
Q71, 02:22:04, (x²-3x)²-2(x²-3x)-8
Q72, 02:25:03, (x²+4x)²-2(x²+4x)-15
Q73, 02:27:18, (x²+x)²-8(x²+x)+12
Q74, 02:28:40, x⁴+x³+8x+8
Q75, 02:30:00, x³-2x²-5x+6
Q76, 02:31:48, 2x³+3x²-8x-12
Q77, 02:33:16, x³+4x²+x-6
Q78, 02:35:38, x⁴-2x³-8x+16
Q79, 02:35:54, x⁴-2x³+8x-16
Q80, 02:41:58, 4x⁴y²+16x²y⁴+16y⁶
Q81, 02:43:44, (x²+y²)²-4x²y²
Q82, 02:45:18, x⁶-7x³-8
Q83, 02:47:11, 3x⁶+19x³-216
Q84, 02:54:32, six-term multi-variable grouping
Q85, 03:05:02, 8x⁶+20x⁴
Q86, 03:05:36, x⁴+2x³+14x+15 Thanks to
@thomaspangnt final answer should be (x+1)(x+3)(x^2-2x+5)
Q87, 03:11:13, x⁸-1
Q88, 03:13:08, 12x⁴+11x³-15x²
Q89, 03:16:18, 6x²y²+xy-20
Q90, 03:18:34, x²-4yz+xy-4xz
Q91, 03:21:18, x³y-xy³+x²-y²
Q92, 03:22:31, x⁴+4y⁴
Q93, 03:25:13, x⁸+x⁴+1
Q94, 03:29:21, x⁴+x³+2x²+x+1
Q95, 03:30:58, x⁵+x+1
Q96, 03:33:25, a²-2ab+b²-4c² Thanks to @thomaspangnt The answer should be (a-b-2c)(a-b+2c) instead of (a-b-2c)(a+b+2c)
Q97, 03:34:53, (x+1)(x+2)(x+3)(x+4)-120
Q98, 03:39:38, (x+1)(x+3)(x+5)(x+7)+15
Q99, 03:42:17, 4x⁴+3x²y²+y⁴
Q100, 03:44:34, a³+b³+c³-3abc
Q101, 03:51:00, (a+b+c)³-a³-b³-c³ 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 Factoring 100 Polynomials In One Take!
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.
![YO SOY ROCKY Trailer (2026) / PLAY ROCKY Trailer [HD] Biopic de Sylvester Stallone](https://img.youtube.com/vi/9rWUFuRJ71c/maxresdefault.jpg)
