Rational root theorem

Remainder Theorem
28 Sep
Math - Class 9 | NCERT, , , , , , ,

Rational root theorem: Given a polynomial P(x) = anxn + an-1xn-1 + …… + a1x + a0 with integral coefficients, an≠0. If has a rational root p/q with p & q relatively prime positive integers, then p is a divisor of a0 and q is a divisor of an.

Basics of polynomials
Factorise quadratic polynomial

About & Prerequisite

This is a very important theorem about polynomials which helps finding the rational roots of high degree polynomial equations. This actually is a theorem for the higher classes (generally part of graduation classes) but I personally feel that it is not at all a difficult theorem to learn. More importantly, a good theorem to learn in case you are dealing with rational roots of high degree polynomials. 

You must be aware of basics of polynomials before you watch this tutorial.

Basics of polynomials 

Chapter 2 – Polynomials

Here you will find complete solution of all questions, concepts, theorems and examples of class 9 chapter 2 (Polynomials) of class 9, NCERT textbook.

There are few very important concepts that students must learn to get a good understanding of polynomials:

All above mentioned tutorials are included in the list displayed below for class 9 chapter 2 (Polynomials). You are strongly advised to watch all these videos thoroughly and do not miss any of these if you really want to get good hold on polynomials.

Click a thumbnail to watch the tutorial.

Watch complete chapter on YouTube
Class 9 Chapter 3 | Coordinate Geometry
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Theorems / Concepts

Basics of polynomials

Remainder theorem

Factor theorem

Factorise – Splitting the middle term

Algebraic Identities

Exercise 2.1

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 2.2

Question 1

Question 2

Question 3

Question 4

Exercise 2.3

Question 1

Question 2

Question 3

Exercise 2.4

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 2.5

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Exercise 2.5

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Example 20

Examples

Example 21

Example 22

Example 23

Example 24

Example 25

Good to learn

Rational root theorem

Synthetic division – Part 1

Synthetic division – Part 2

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