RD Sharma Solutions for Class 8 Maths Chapter 8: Division of Algebraic expressions

The chapter deals with finding the degree of the polynomial, dividing a monomial by monomial, dividing a polynomial by a monomial, dividing polynomial by polynomial. The chapter also teaches the students to divide the algebraic expression employing factorisation. The chapter starts with the identification of the polynomials. Then, students are taught whether a given collection of algebraic terms can be classified as a polynomial or not. The degree of the polynomial, which is the higher power of the variable in the polynomial, is also taught in the chapter.

The chapter then moves on to the concepts of division, where the monomials are divided by monomials. Here, the concept of exponent comes in handy while solving these problems. The constant part undergoes the regular division, and the variable part follows the law of division taught in exponents.

The next part is the division of a polynomial by monomial, which is an extension of the previous concept, and every term of the polynomial can be divided individually by the monomial.

Furthermore, the chapter teaches the concept of division of polynomials by binomial or polynomial. This is done by the long division method or by using the remainder theorem. The last part of the chapter teaches the students to determine whether a given divisor (polynomial) is a factor of another polynomial by using the long division method.

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