Class 8 Exam > Class 8 Notes > Assignment 1 - Chapter 14:Factorisation , Maths, Class 8
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Page 1 29 CHAPTER - 14 Factorisation Questionscarrying1markeach:- Q.1 Factorisex 2 +x. Q.2 Isitcorrect: 3(x-4)=3x-4. Questionscarrying2markseach:- Q.3 Factorise 9a 2 -16b 2 Q.4 Factorise 24x 4 +18x 3 Q.5 Factorise 2a-32a 5 Q.6 Divide 32xy 2 -16x 2 yby16xy Q.7 Evaluate(ax+ay+ax) ÿ a Questionscarrying3markseach: Q.8 Factorise1-a 2 -2ab-b 2 Q.9 Resolveintofactors:2x 2 -3ax-2a 2 Q.10 Findthegreatestcommonfactorof -4a 3 b 2 ,12a 3 b 3 c,16a 5 bc. Q.11 Divide(4x 2 -9)by(2x-3). Q.12 Findandcorrecttheerror:- ÿ ÿ ÿ ÿ ÿ Q.13 Factorise(x 4 )-(y-z) 4 ISSUED BY KENDRIYA VIDYALAYA - DOWNLOADED FROM WWW.STUDIESTODAY.COM ISSUED BY KENDRIYA VIDYALAYA - DOWNLOADED FROM WWW.STUDIESTODAY.COM Page 2 29 CHAPTER - 14 Factorisation Questionscarrying1markeach:- Q.1 Factorisex 2 +x. Q.2 Isitcorrect: 3(x-4)=3x-4. Questionscarrying2markseach:- Q.3 Factorise 9a 2 -16b 2 Q.4 Factorise 24x 4 +18x 3 Q.5 Factorise 2a-32a 5 Q.6 Divide 32xy 2 -16x 2 yby16xy Q.7 Evaluate(ax+ay+ax) ÿ a Questionscarrying3markseach: Q.8 Factorise1-a 2 -2ab-b 2 Q.9 Resolveintofactors:2x 2 -3ax-2a 2 Q.10 Findthegreatestcommonfactorof -4a 3 b 2 ,12a 3 b 3 c,16a 5 bc. Q.11 Divide(4x 2 -9)by(2x-3). Q.12 Findandcorrecttheerror:- ÿ ÿ ÿ ÿ ÿ Q.13 Factorise(x 4 )-(y-z) 4 ISSUED BY KENDRIYA VIDYALAYA - DOWNLOADED FROM WWW.STUDIESTODAY.COM ISSUED BY KENDRIYA VIDYALAYA - DOWNLOADED FROM WWW.STUDIESTODAY.COM 30 MultipleChoiceQuestionscarrying1markeach:- Q.14 Division is opposite of a) Subtraction b) Addition c) Multiplication d) Noneofthese ISSUED BY KENDRIYA VIDYALAYA - DOWNLOADED FROM WWW.STUDIESTODAY.COM ISSUED BY KENDRIYA VIDYALAYA - DOWNLOADED FROM WWW.STUDIESTODAY.COMRead More
FAQs on Assignment 1 - Chapter 14:Factorisation , Maths, Class 8
| 1. What is factorization in mathematics? |  |
Ans. Factorization in mathematics is the process of breaking down a number or an expression into its factors. Factors are the numbers or expressions that can be multiplied together to get the original number or expression.
| 2. Why is factorization important in mathematics? | |
Ans. Factorization is important in mathematics because it helps us simplify and solve equations, find common factors, and understand the properties of numbers and expressions. It also plays a crucial role in various fields of mathematics, such as algebra, number theory, and cryptography.
| 3. How can I factorize a number? | |
Ans. To factorize a number, you need to find its prime factors. Start by dividing the number by the smallest prime number (2) and continue dividing the quotient by prime numbers until you reach 1. The prime factors obtained from the division are the factors of the original number.
| 4. What are the methods of factorization? | |
Ans. There are several methods of factorization, such as:
- Trial and Error: This method involves trying different numbers as potential factors and dividing the given number until no further division is possible.
- Grouping: This method is used when a polynomial expression can be grouped into pairs and then factored out.
- Difference of Squares: This method is used when an expression can be written as the difference of two perfect squares.
| 5. Can you explain the difference between prime and composite numbers in terms of factorization? | |
Ans. Prime numbers are numbers that have exactly two distinct factors, 1 and the number itself. They cannot be further divided into smaller factors. Composite numbers, on the other hand, have more than two factors. They can be factorized into multiple smaller factors. Prime numbers can only be divided by 1 and themselves, while composite numbers have at least one additional factor.
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