Class 9 | Chapter 2 | Polynomials | Exercise 2.5 | Question 15

05 Oct
Class 9 - Polynomials, Math - Class 9 | NCERT, , , , , , , , , ,

Question 15: Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given:

(i) Area : 25a2 – 35a + 12  (ii) Area : 35y2 + 13y –12

Question 14
Question 16

Prerequisite

Area of a two dimensional object is calculated as the product of its two dimensions – length and breadth. In this question we are asked to factorise the given polynomial, in its two dimensions considering it is area of a rectangle.  
 
We would need to understand the concept of splitting the middle term for factorising the quadratic polynomials. Have a look at the following tutorials just in case you need a reference.
 
 

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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