Find the best tutors and institutes for Class 9 Tuition
Learn Factorisation of polynomials
Welcome to CBSE Class 9 Mathematics! In the "Polynomials" chapter, one of the most critical and foundational skills you will learn is the Factorisation of polynomials. Think of factorisation as reverse-engineering a multiplication problem. Just as the number 12 can be broken down into its mathematical building blocks or factors (3 × 4), a polynomial can be broken down into simpler expressions. When these simpler expressions are multiplied back together, they produce the original polynomial. Factorisation simplifies complex algebraic equations, helping you easily find their roots (or zeroes) and preparing you for higher-level algebra and calculus.
The most common and important method for factorising quadratic polynomials of the form ax² + bx + c is called splitting the middle term. The core logic requires you to find two numbers that multiply to give the product of a × c, and add up to give the middle coefficient b. Let's take the polynomial x² + 5x + 6 as an example. Here, a = 1, b = 5, and c = 6. The product a × c is 6 (1 × 6). We need two numbers that multiply to 6 and add to 5. Those numbers are 2 and 3. You then rewrite the middle term 5x as 2x + 3x, group the terms into pairs, and extract the common factors. By factoring out the common bracket, you arrive at the final answer: (x + 2)(x + 3).
Take a look at the infographic above, which visually breaks down the "splitting the middle term" method step-by-step. In the first blue box, we establish our goal: handling the sum and the product requirements simultaneously to lock down the correct pair of numbers (2 and 3). Moving to the yellow box, the middle term 5x is successfully expanded, expanding our expression to four terms. In the green box, we apply grouping: factoring out an x from the first pair and a 3 from the second pair, creating an identical (x + 2) bracket in both. Finally, pulling out this common bracket leaves us with the ultimate factors shown in the red box. This precise logic flow is frequently tested in your school exams, and mastering it will prevent common sign errors and ensure quick, accurate answers.
Grasping algebra and perfectly splitting middle terms can sometimes feel overwhelming, but you do not have to tackle it alone. If you are finding polynomials challenging or want to perfect your factorisation techniques, finding the right guidance makes all the difference. Explore UrbanPro to connect with highly experienced, verified Class 9 Mathematics tutors offering tailored online and local offline tuition. Book a session on UrbanPro today to build a rock-solid foundation in math, clarify your doubts instantly, and score top marks in your CBSE exams!
Other Concepts in Polynomials
- Definition and examples
- Degree and terms of a polynomial
- EXERCISE 2.1
- EXERCISE 2.2
- EXERCISE 2.3
- EXERCISE 2.4
- Factor Theorem
- Remainder Theorem
- Zeroes of a polynomial
Other Concept Videos for Factorisation of polynomials
Breaking Down Polynomials Using Factorisation
CBSE - Class 9>Mathematics>Polynomials>Factorisation of polynomials
Breaking Down Polynomials Using Factorisation
CBSE - Class 9>Mathematics>Polynomials>Factorisation of polynomials
Super Tutor 
Breaking Down Polynomials Using Factorisation
CBSE - Class 9>Mathematics>Polynomials>Factorisation of polynomials
Top Tutors who teach Factorisation of polynomials
Top Tutor 
Begur Road, Bangalore 
4 students 
4 hrs of classes completed 
250 per hour 
Online Classes 
Tutor's home I have been teaching since last more than 5 years. My way of teaching style is so simple so that it make students very easier to understand. I am taking classes of Math, Hindi and Sanskrit subject
Top Tutor T Nagar, Chennai 5 students 1149 hrs of classes completed 500 per hour Online Classes BDS Graduate from Government Dental College, Chennai | CBSE Class 10 Science & Maths | Class 11-12 Biology & Chemistry | NEET Biology & Chemistry Mentor About Me I am a BDS graduate from Government Dental College, Chennai, with a strong academic foundation in Biology, Chemistry and the life sciences. My passion for teaching led me to become a full-time online educator, helping students build confidence through conceptual learning rather than rote memorization. My teaching approach is designed to help students understand concepts from the basics and gradually progress to exam-level application. Every class is interactive, student-friendly and tailored to the learner's pace. What students can expect ✔ Strong conceptual understanding from fundamentals ✔ NCERT-focused teaching for Boards and NEET ✔ Step-by-step explanation of difficult topics ✔ Previous Year Questions and exam-oriented practice ✔ Regular MCQs, assignments and chapter-wise tests ✔ Doubt-solving sessions and revision classes ✔ Personalized study plans based on each student's strengths and weaknesses ✔ Time management and exam strategy guidance Why learn with me? Being a healthcare professional has given me an in-depth understanding of Biology and Chemistry, enabling me to explain even complex topics in a simple, logical and relatable manner. I have successfully guided students in improving their conceptual understanding, academic confidence and examination performance. My objective is not just to help students score high marks but also to develop genuine interest and long-term understanding of the subject. I believe every student can excel with the right guidance, structured learning and regular practice. My classes are supportive, interactive and result-oriented, ensuring students gain both knowledge and confidence. Subjects 🔷️Class 10 (CBSE & State Board): ▪️Science ▪️Mathematics 🔷️Class 11 & 12 (CBSE): ▪️Biology ▪️Chemistry 🔷️NEET Preparation: ▪️Biology ▪️Chemistry 🔷️NCERT Line-by-Line Learning MCQ Practice Previous Year Questions Exam Strategy Doubt Solving One suggestion Book a demo class and experience concept-based learning that makes studying easier, smarter and more effective.
Super Tutor Nangli, Amritsar 12 students 2767 hrs of classes completed 400 per hour Online Classes I can teach Maths and Physics Few of my students have become Aircraft Engineer, Automobile Engineer, Lieutenants, I feel proud of. In the pursuit of cracking exams like IIT JEE CUET etc many a time students forget to solidify their basics but just go for speed. That is a mistake First, under the beauty of all fundamental concepts then go for time management
It has been a week now and my daughter has started liking her Class 9 Maths tuition. Earlier she would dread going to other Maths tuitions. So I am a happy parent. Onkar sir is passionate about teaching and it shows. The classes are interactive, with a small batch of 5 students, focus on fundamentals, and at the same time engaging and interesting for the students.
Top Tutor Patel Nagar, Gurgaon 300 per hour Online Classes 
Student's Home Tutor's home Hi Myself Anju and have BSC BED MCA and have experience of more then 12 yrs I m taking online 9th class batch students from Presidium and convent school . Please contact me for free demo
Top Tutor Uttorayon Township, Siliguri 6 students 91 hrs of classes completed 350 per hour Online Classes Student's Home Tutor's home Not to mention what I teach just a free demo class...and u will get to know .
Find more Tutor for Factorisation of polynomials in your City
- Bangalore Mathematics Tutors
- Delhi Mathematics Tutors
- Gurgaon Mathematics Tutors
- Hyderabad Mathematics Tutors
- Chennai Mathematics Tutors
- Kolkata Mathematics Tutors
- Faridabad Mathematics Tutors
- Noida Mathematics Tutors
- Mumbai Mathematics Tutors
- Surat Mathematics Tutors
- Pune Mathematics Tutors
- Ghaziabad Mathematics Tutors
FAQ
What is the meaning of Factorisation of polynomials?
It refers to a specific mathematical method or property in Polynomials used to solve problems involving Factorisation of polynomials.
Why is Factorisation of polynomials important for CBSE - Class 9 exams?
This concept is crucial for the exams as questions related to Polynomials and specifically Factorisation of polynomials are very common. It helps secure marks in the section effectively.
Is Factorisation of polynomials part of the latest NCERT syllabus?
Yes, Factorisation of polynomials is an integral part of the CBSE - Class 9 NCERT Mathematics syllabus. It is a key topic covered in the Polynomials chapter.
What are common mistakes students make with Factorisation of polynomials?
Students often miss the minute details or fundamental definitions of Factorisation of polynomials. Regular revision and practice are needed to master the nuances.
How should I approach learning Factorisation of polynomials?
Start by understanding the formulas and logic, then practice applying them to simple problems. Solve the examples given in the NCERT textbook before moving to exercise problems.
How can UrbanPro help me understand Factorisation of polynomials better?
UrbanPro connects you with experienced Mathematics tutors who can explain Factorisation of polynomials with simple examples. You also get access to doubt-clearing sessions and mock tests for better preparation.
