RS Aggarwal Solutions for Class 8 Maths Chapter 6 Exercise 6.3 Operations on Algebraic Expressions

Question 6: Divide the polynomial (15x^2 + x – 6) by (3x + 2).

Solution:

Question 7: Divide the polynomial (14x^2 – 53x + 45) by (7x – 9).

Solution:

$\therefore$ Quotient = 5x-3

Question 8: Divide the polynomial (6x^2 - 31x + 47) by (2x - 5).

Solution:

Quotient = 3x-8 Remainder = 7

Question 9: Divide the polynomial (2x^3 + x^2 - 5x - 2) by (2x + 3).

Solution:

Quotient = $x^2-x-1$ Reminder = 1

Question 10: Divide the polynomial (x^3 + 1) by (x + 1).

Solution:

The long division method for division of $(x^3+1)$ by $x+1$ is given by Therefore, Quotient $=x^2-x+1$ and Remainder $=0$ .

Benefits of RS Aggarwal Solutions for Class 8 Maths Chapter 6 Exercise 6.3

• Comprehensive Understanding : These solutions provide a thorough breakdown of problems related to operations on algebraic expressions, helping students grasp complex concepts with ease.
• Step-by-Step Guidance : Each solution is explained in a step-by-step manner making it easier for students to follow and understand the process of solving algebraic expressions.
• Practice and Reinforcement : By working through these solutions, students can practice and reinforce their understanding of algebraic operations leading to improved accuracy and confidence in their math skills.
• Clarification of Doubts : The detailed explanations help clarify common doubts and misconceptions, ensuring that students build a solid foundation in algebra.
• Enhanced Problem-Solving Skills : The solutions encourage critical thinking and problem-solving skills which are important for tackling more advanced mathematical concepts.