Factorisation RS Aggarwal Class-9th ICSE Maths Goyal Brothers

Factorisation RS Aggarwal Class-9th ICSE Maths Solutions Goyal Brothers Prakashan Chapter-4 . We provide step by step Solutions of Exercise / lesson-4 Factorisation  for ICSE Class-9  RS  Aggarwal  Mathematics .

Our Solutions contain all type Questions with Exe-4 A, Exe-4 B , Exe-4 C and  Exe-4 D, to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-9 Mathematics.

Factorisation RS Aggarwal Class-9th ICSE Maths Solutions Goyal Brothers Prakashan Chapter-4


–: Select Topics :–

 

Exe-4 A, 

Exe-4 B,

 Exe-4 C.

 Exe-4 D, 

 


Definition

factorisation or factoring is defined as the breaking or decomposition of an entity (for example a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number or a matrix, etc. This concept you will learn majorly in your classes 9.

 factorisation method

It is simply the resolution of an integer or polynomial into factors such that when multiplied together they will result in original or initial the integer or polynomial. In the factorisation method, we reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets.

Factorization Formula for a Quadratic Polynomial

A “quadratic” is a polynomial that is written like “ax2 + bx + c”, where “a”, “b”, and “c” are just numbers. For an easy case of factoring, you can identify the two numbers that will not only multiply to equal the constant term “c” but also add up to equal “b,” the coefficient on the x-term.

Factorising formulas algebra is especially important when solving quadratic polynomial When reducing formulas we normally have to remove all the brackets, but in particular cases, for example with fractional formulas, sometimes we can use factorisation to shorten a formula.

What is a Factor?

It is something that is to be multiplied.

Sum = term + term

Product = factor × factor

For example :

p = 4(2q – 6)

The 4 and 2q – 6 in the above formula are factors which are multiplied.

In factors 2q – 6 are 2q and –6 terms which are added.

In the term, 2q have the 2 and q as factors.


 

Exercise – 4 A, Factorisation RS Aggarwal Solutions , Class-9th ICSE Maths – Goyal Brothers Prakashan

factorise:-

Question 1 to Question 5

1-    5x² – 20xy

Answer

Ans 1 to 5 Exercise - 4 A Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 6 to Question 10

6–      x(a-5)+y(5-a)

Answer

Ans 6 to 10 Exercise - 4 A Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 11 to Question 17

11-     x²+xy-2ax-2yz

Answer

Ans 11 to 17 Exercise - 4 A Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 18

Answer

Ans 18 Exercise - 4 A Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 19 to Question 24

19-    x²-(a+b)x+ab

Answer

Ans 19 to 24 Exercise - 4 A Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan


 RS Aggarwal Class-9th ICSE Maths Solutions Goyal Brothers Prakashan Exercise – 4 B , Factorisation

factorise question 1 to 30 :

Question 1 to Question 8

1–          x²-49

Answer

Ans 1 to 8 Exercise - 4 B Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 9

Answer

Ans 9 Exercise - 4 B Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 10 to Question 15

10-         9(x+a)²-4x²

Answer

Ans 10 to 15 Exercise - 4 B Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 16 to Question 21

16-    x²-1-2a-a²

Answer

Ans 16 to 21 Exercise - 4 B Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 22

Answer

Ans 22 Exercise - 4 B Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 23 to Question 27

23-   4x²y-9y³

Answer

Ans 23 to 27 Exercise - 4 B Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 28 to Question 31

28-   ………………….. -4abcd

Answer

Ans 28 to 31 Exercise - 4 B Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 32

Answer

Ans 32 Exercise - 4 B Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 33

Answer

Ans 33 Exercise - 4 B Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan


Exercise- 4 C, Factorisation RS Aggarwal Class-9th ICSE Maths Solutions Goyal Brothers Prakashan

factorise :

Question 1 to Question 5

1-         x³+64

Answer

Ans 1 to 5 Exercise - 4 C Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 6 to Question 10

6–          216x³+1/27

Answer

Ans 6 to 10 Exercise - 4 C Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 11

Answer

Ans 11 Exercise - 4 C Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 12 to Question 15

12-    x³-125

Answer

Ans 12 to 15 Exercise - 4 C Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 16 to Question 19

16-  x6-1

Answer

Ans 16 to 19 Exercise - 4 C Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 20

Answer

Ans 20 Exercise - 4 C Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 21 to Question 23

21-    2×7-128x

Answer

Ans 21 to 23 Exercise - 4 C Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 24

Answer

Ans 24 Exercise - 4 C Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 25 to Question 27

25-     32a²……………

Answer

Ans 25 to 27 Exercise - 4 C Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan


Exercise- 4 D

Question 1

x²+9x+18

Answer

Ans 1 Exercise - 4 D Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 2

Answer

Ans 2 Exercise - 4 D Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 3 to Question 7

Answer

Ans 3 to 7 Exercise - 4 D Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 8 to Question 12

Answer

Ans 8 to 12 Exercise - 4 D Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 13 to Question 16

Answer

Ans 13 to 16 Exercise - 4 D Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 17 to Question 21

Answer

Ans 17 to 21 Exercise - 4 D Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 22 to Question 23

Answer

Ans 22 and 23 Exercise - 4 D Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 24

Answer

Ans 24 Exercise - 4 D Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 25 and Question 26

Answer

Ans 25 and 26 Exercise - 4 D Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 27

Answer

Ans 27 Exercise - 4 D Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 28

Answer

Ans 28 Exercise - 4 D Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 29

Answer

Ans 29 Exercise - 4 D Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 30

Answer

Ans 30 Exercise - 4 D Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

Question 31

Answer

Ans 31 Exercise - 4 D Factorisation ICSE Class-7th Maths Goyal Brothers Prakashan

 

–: End of Factorisation RS Aggarwal ICSE Class-9th Maths Solutions   :–

 

Return to-  RS Aggarwal Solutions for ICSE Class-9 Goyal Brothers Prakashan


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