Automatically translated.View original post

♪ Math think fast ep38 factoring ax squared

2025/8/18 Edited to

... Read moreการแยกตัวประกอบพหุนามที่มีรูปแบบ ax² เป็นเรื่องสำคัญสำหรับผู้เรียนที่ต้องการเข้าใจแนวคิดทางคณิตศาสตร์อย่างลึกซึ้ง โดยเฉพาะเมื่อเราต้องเจอกับพหุนามสามพจน์ดีกรีสอง ในหลายครั้ง เทคนิคการดึงตัวร่วมจะช่วยให้การแยกตัวประกอบง่ายและรวดเร็วขึ้น เทคนิคดึงตัวร่วมคือการค้นหาส่วนที่เหมือนกันในแต่ละพจน์ของพหุนามเพื่อถอดออกมาเป็นตัวประกอบหนึ่งก่อน ซึ่งจะทำให้โจทย์ดูเรียบง่ายและแก้ไขได้สะดวกกว่า ตัวอย่างเช่นเมื่อเจอพหุนามที่ตรงตามรูปแบบ ax² + bx + c เราสามารถแยกตัวประกอบโดยเลือกตัวเลขและตัวแปรที่เป็นตัวร่วมกันในแต่ละเทอม แล้วจัดกลุ่มเพื่อทำให้เกิดรูปแบบที่ง่ายต่อการแยกตัวประกอบ จาก OCR บนภาพในบทความนี้ มีการเน้นถึงวิธีการแยกตัวประกอบพหุนามแบบ ax² อย่างละเอียด รวมถึงขั้นตอนการใช้สูตรและการดึงตัวร่วมที่ทำให้เห็นว่าจริง ๆ แล้วการแยกตัวประกอบนั้นไม่ได้ซับซ้อนอย่างที่คิด การเรียนรู้จากพี่เหลิมผู้มีประสบการณ์และความรู้ด้านวิศวะศาสตร์ จะช่วยให้วิธีคิดของคุณเปลี่ยนไป และเข้าใจโจทย์ที่ยาก ๆ ได้ง่ายขึ้น หากคุณกำลังหัดศึกษาเรื่องพหุนามและแยกตัวประกอบแบบ ax² การเข้าใจว่าส่วนไหนเป็นดึงตัวร่วมและการใช้เทคนิคอย่างถูกวิธีจะเป็นกุญแจที่ช่วยประหยัดเวลาในการทำข้อสอบได้มาก ลองฝึกทำโจทย์จากบทความนี้และสังเกตวิธีคิดที่นำเสนอ รับรองว่าคุณจะเก่งขึ้นอย่างรวดเร็วแน่นอน

Related posts

✨🗒️😍 Pretty Notes, Productive Minds 🥰✍🏾✨
✨ Compiled some top tier aesthetic notes! Let’s be real, there’s something so satisfying about neat handwriting and a well-organized page 🧠💗 If you’ve been wanting to level up your notes and your penmanship, here are a few tips: ✍🏾 Handwriting Tips: • Slow down while writing, speed kills c
Margarita

Margarita

2347 likes

A calculator displaying a heart-shaped graph on its screen, placed on a notebook with handwritten math equations. The overlay text reads 'Math Apps for School'.
A screenshot of the Photomath app store page, showing its icon, title 'Photomath: Learn math, step-by-step', 4.8-star rating from 709K ratings, and age rating 4+.
A screenshot of the Symbolab app store page, showing its icon, title 'Symbolab: AI Math Calculator', 4.5-star rating from 21K ratings, and age rating 4+. It highlights 'Hundreds of Powerful Calculators'.
math apps for school 🧮
crying over math? (。•́︿•̀。) 💔 ⭐️ here’s some apps that can help ⭐️ ✖️photomath (scans problems and has step by step) - ⭐️FAV APP⭐️ ✖️ symbolab (over 10 diff calculators and scans problems) ✖️ solvely - Ai math solver (diff subjects that involve equations, uses ChatGPT) ✖️ MathPapa - ( gra
juanita ☆

juanita ☆

893 likes

Last reminder WE ALL NEED IT 🫵🏽 #greenscreen #library #education #tutoring
EmancipationOfBee

EmancipationOfBee

232 likes

A spiral-bound grid paper notebook displays organized math notes in black, green, and grey ink, with several pens resting on the pages, illustrating a college student's note-taking method.
A close-up of math notes on grid paper, showing a differential equation problem and its solution steps using Laplace transforms, with a green overlay stating, 'Start with the title!'
Handwritten math notes on grid paper, detailing definitions, theorems, and lemmas in black ink, with a green overlay indicating, 'I write all my definitions, theorems, and notes in black!'
math lecture notes as a STEM student ✨
Math notes can be hard to keep organized and make pretty! This is my favorite way to take math notes in college: -any proofs, formulas, definitions, and theorems get written in black. I copy them exactly from the teacher or textbook -highlight any important formulas. This is super helpful i
reagan

reagan

35 likes

Try this proven strategy to study Math! 🎓
Interleaved Practice in a Nutshell: 🔀 Involves mixing different types of problems within a study session 🧠 Enhances long-term retention and transfer of mathematical skills 📚 More effective than blocked practice for complex problem-solving What do you think of this strategy? Follow me for
teal.days

teal.days

31 likes

#winorlose #fyp #pixar #disney #edit
VanNam

VanNam

557 likes

A flat lay shows a phone displaying a 59-minute study timer with a cat illustration, a laptop, and a light-colored keyboard. The text reads 'Day 2 of sharing study tips/resources to help you become a top student SWIPE FOR MORE'.
A white card titled 'Top 2 proven strategies to help you with mathematics' details 'Interleaved Practice'. It explains mixing different problem types, with examples from Geometry (shapes, area, perimeter, volume) and Algebra (linear, quadratic, inequalities, factoring, solving, graphing).
A white card titled 'Top 2 proven strategies to help you with mathematics' details 'Concept Connections'. It explains linking new concepts to old material and real-world analogies, with examples from Algebra, Geometry, Trigonometry, Calculus, Differential Equations, and Population Dynamics.
Day 2: Top 2 Strategies for learning Math! 🧮
These strategies can significantly improve math learning and retention. They focus on active engagement with the material, which is key to mastering mathematical concepts. Keep in mind that practice is the KEY in Math! #lemon8partner #math #study #college #SATs
teal.days

teal.days

49 likes

Lowkey studying. 🤫
#sat #study #studywithme #viral #fyp
Henry SAT

Henry SAT

8 likes

The Personal Chef Pricing Guide ✨
You’re guessing your prices. You’re not factoring in your time, groceries, or the full cost of your service. And that’s how you end up overworked and underpaid. If you’re serious about becoming a personal chef, you need to understand your numbers. I created a Pricing Starter Guide to help you p
NasiaBTheChef

NasiaBTheChef

24 likes

Anyone like math but the note?
I love to make my notes so aesthetic so it makes me feel more it girl. Is anyone else like me?? If anyone can tell this is 7th grade math
🎀🛼Parker🌷💝

🎀🛼Parker🌷💝

4 likes

Difference of two squares factorizing
Difference of two squares factorizing #FunMathsLearning #MathsTrick #SatHelp #StudyTip #FML #Math #Maths #MathTrick #School #DifferenceOfSquares #AlgebraConcepts #MathFormulas #AlgebraPractice #MathSimplification #FactoringTechniques #MathEducation #LearnAlgebra #MathSkills #AlgebraHel
Fun Maths Learning (FML)

Fun Maths Learning (FML)

1 like

An anchor chart defining variance and standard deviation, showing their formulas and explaining the symbols used, with the question 'How can you use standard deviation to represent the spread of data?' at the top.
Algebra 2 anchor charts
Some of my anchor charts for my class #algebra #algebraconfidence #math #tutor
Kwanjalein Jack

Kwanjalein Jack

8 likes

4 Apps you need as a student
❤️Psyfy - My go-to for setting daily study goals and checking them off! During breaks, I collect cute items and decorate my little room - super relaxing! I also love studying with their music 🎵 ❤️GoodNotes - Perfect for taking class notes! Clean and organized 📝 ❤️ChatGPT - My study buddy! I a
Amire💕

Amire💕

25 likes

Crazy how much time we can waste.
The video I got this information from was on YouTube from a channel called (simonesquared) #socialmediaaddiction #doomscrolling #wellness #psychology #mindfulness
Cel

Cel

3 likes

A pink iMac displays the Chrome Web Store page for 'Equatio - Math made digital,' showing 3,000,000 users and a 3.9 rating. The desk is adorned with cute, pink-themed items, including Sanrio characters, flowers, and a matching keyboard.
A screenshot of the 'Equatio - Maths made digital' Chrome Web Store page, highlighting 5,000,000 users and a 3.9 rating. Text states, 'Easily type or handwrite mathematical equations, formulas and quizzes.'
An image detailing Equatio's key features: Handwriting Recognition, which converts handwritten math into clear equations, and Speech Input, allowing users to dictate equations accurately, ignoring non-math words.
✿˖° chrome extension to work more efficiently
‧°𐐪♡𐑂°‧₊ ☕Say goodbye to clunky math symbols and hello to Equatio—the genius Chrome extension that turns your scribbles, voice notes, and even half-typed thoughts into perfect equations instantly! No coding, no confusing shortcuts, just pure math magic. Imagine typing "sq" and it just auto
peachiesuga ♡

peachiesuga ♡

19 likes

guess my engineering degree came in handy for ipad tricks 🌟 let me know if you need help with this rotating ipad wallpaper tutorial! #ipad #ipadwallpaper #ipadtips
bycharlottesendi

bycharlottesendi

391 likes

If you’re not using @Khan Academy @Khan Academy Kids , you’re missing out 👏🏾 I’ve been using it since college, and now my kids use it too! It’s free, fun, and seriously one of the best learning platforms out there. From math and reading to science and even SAT prep it’s got it all! 🧠📚 Moms, a
momeditwithnards

momeditwithnards

0 likes

the Laws of Mathematics, just like the Law of Gravity and Electricity, apply to the Universe, of which you and your money “problems” and your results are a part‼️ there’s a reality for you where your results have exponentially multiplied, where you experience: 🦋passionate, faithful, fulfillin
Lemon8er

Lemon8er

0 likes

Struggling To Pass Math ??
These two apps have got me to pass milestones !! 👍Pros :~ChatGPT allows you to scan the entire math equation then show you step by step how to solve the equation. 🤔Cons:( after 5 pictures you won’t be able to scan problems unless you have a membership with ChatGPT!! ***** I advise you to have m
ash.xlee💌

ash.xlee💌

18 likes

This image displays a comprehensive cheat sheet for Algebra, covering arithmetic, exponent, inequality, and complex number properties. It also includes quadratic equations, radical and logarithm properties, common factoring examples, absolute value, and steps for completing the square, all presented with formulas and examples.
This image is a trigonometry cheat sheet detailing various laws and identities. It includes tangent, reciprocal, Pythagorean, periodic, even/odd, double angle, half angle, product-to-sum, sum-to-product, and sum/difference identities, along with the Law of Sines, Cosines, Tangents, Mollweide's Formula, and cofunction identities.
This image presents a geometry cheat sheet with formulas for shapes and solids. It covers perimeter, area, and volume for squares, rectangles, circles, triangles, parallelograms, circular sectors, trapezoids, rectangular boxes, cones, cubes, cylinders, spheres, circular rings, and frustums of cones.
Math Formulas
#mathematics #alegria #trigonometry #geometry #calculus
M

M

30 likes

Kirandeep Deol
Home Buying Tips #kirandeepdeol #realtor #vancouver #surrey #buyingtips
Kirandeepdeol

Kirandeepdeol

5 likes

#asignment #homework #exams #quizzes #tests Whitman College University of Washington Bothell Whitworth University Saint Martin's University The Evergreen State College Heritage University Eastern Connecticut State University Eastern Washington University Central Washi
youressaywriter

youressaywriter

1 like

A handwritten math problem on a piece of paper, showing trigonometric equations involving squared cosines, algebraic manipulations with variables C1, C2, and M, and the final solution M = 3/8. The bottom left corner has a 'Lemon8 @cubicequation' watermark.
A series of squared cosines
#math #maths #mathematics #geometry #trigonometry
cubicequation

cubicequation

6 likes

Push down dammit 😅📊🔥 #nbayoungboy #daytrader #futures #fyp
𝚑𝚎𝚛𝚗𝚊𝚖𝚎𝚔𝚊𝚜𝚑 ♡

𝚑𝚎𝚛𝚗𝚊𝚖𝚎𝚔𝚊𝚜𝚑 ♡

3 likes

🏡 SALARY💲NEEDED 🏡
🏡 SALARY💲NEEDED 🏡 News@ Www.zerohedge.com *FULL STORY IN LINK BELOW This Is The Salary Needed To Live Comfortably In US Cities | ZeroHedge https://share.google/fIvIPAyS3HTN1v7TC 💲🏡💲The data comes from SmartAsset, using the MIT Living Wage Calculator and upda
NanoNano64

NanoNano64

2 likes

Jeremiah 29:11
"For I know the plans I have for y
To GOD be the Glory & get the glory of it all when God closes a door no man can open when God opens up doors no man can shut 🙌🏽 When God puts a calling on your life, it is a purposeful, divine invitation—often accompanied by a deep, unsettling burden, passion, or sense of purpose that outwei
Jesus Girl

Jesus Girl

6 likes

An iPad screen displays the Notability welcome page, highlighting features like secure cloud backup, cross-device access, smart study tools, and live transcripts. It also shows sign-in options via Google, Apple, Microsoft, or email.
The Notability app interface on an iPad shows the 'All Notes' section with 'Getting Started' and 'Tools Guide' notes. The sidebar lists 'Notes' and 'Subjects,' while promotional banners for 'Pro features' and 'Gift Notability' are visible.
An iPad screen shows a blank Notability note with a toolbar at the top. The phrase 'SO FAR SO GOOD' is handwritten in black ink on the digital paper, demonstrating the app's writing functionality.
What does Notability do that others don’t?
There’s something about a good notes app that makes your brain feel calmer. Clean pages. Smooth ink. Everything exactly where it should be. So today I’m doing a VERY detailed, honest review of Notability — the good, the powerful, and the “oh wait… that’s actually useful.” 🤍 This is for student
SincerelyTee

SincerelyTee

14 likes

A handwritten mathematical solution on paper, calculating the value of a series of squared sines and their products. The problem involves trigonometric expressions like sin²(π/7), sin²(2π/7), and sin²(4π/7), ultimately deriving the sum of their pairwise products to be 7/8.
A series of squared sines
#math #maths #mathematics #geometry #trigonometry
cubicequation

cubicequation

3 likes

heirloom_house

heirloom_house

60 likes

See more