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FACTORISATION QUESTIONS FOR CLASS 8 WITH SOLUTIONS
Factorisation is an important concept in mathematics that involves breaking down algebraic expressions into simpler forms. It is a fundamental skill that students in Class 8 need to master in order to solve more complex equations and problems. In this article, we will explore factorisation questions for Class 8 with solutions to help students understand and practice this concept effectively.
What is Factorisation?
Factorisation is the process of finding the factors of a given algebraic expression. Factors are numbers or expressions that multiply together to give the original expression. For example, the factors of the expression 2x + 4 are 2 and x + 2, as 2 * (x + 2) = 2x + 4.
Types of Factorisation Questions
There are several types of factorisation questions that students may encounter in Class 8.
. Some common types include:
- Factorising simple algebraic expressions
- Factorising quadratic expressions
- Factorising by grouping
- Factorising using special identities
Sample Factorisation Questions for Class 8
Let’s look at some sample factorisation questions for Class 8 along with their solutions:
Question 1:
Factorise the expression 3x + 6.
Solution:
We can factorise the expression by taking out the common factor, which is 3. Therefore, 3x + 6 = 3(x + 2).
Question 2:
Factorise the expression x^2 + 5x + 6.
Solution:
We can factorise the expression by finding two numbers that multiply to 6 and add up to 5. The numbers are 2 and 3. Therefore, x^2 + 5x + 6 = (x + 2)(x + 3).
Practice Factorisation Questions
It is important for students to practice factorisation questions regularly to improve their skills and understanding of the concept. Here are some additional factorisation questions for Class 8:
Question 3:
Factorise the expression 4x^2 – 12x.
Question 4:
Factorise the expression x^2 – 9.
Summary
Factorisation is a crucial concept in mathematics that students in Class 8 need to master. By practicing factorisation questions with solutions, students can improve their problem-solving skills and build a strong foundation for more advanced topics in algebra. Remember to always look for common factors, special identities, and patterns when factorising algebraic expressions. With practice and perseverance, students can excel in factorisation and tackle more challenging problems with confidence.
