Notes On Division of Algebraic Expressions - CBSE Class 8 Maths
In case of numbers Division is the inverse operation of multiplication but the same is applicable for the division of algebraic expressions also. Division of a monomial by another monomial To divide a monomial by a monomial, first express the numerator and the denominator in their irreducible form, and then cancel the common factors. Division of a polynomial by a monomial To divide a polynomial by a monomial, either divide each term of the numerator by the denominator or factorise the numerator by the common factor method. Division of a polynomial by a polynomial To divide a polynomial by a polynomial, first factorise the numerator and the denominator by using the appropriate method and then cancel the common factors. Dividend = Divisor × Quotient + Remainder. Hint: Division is the inverse operation of multiplication.           2x × (2x+3) = 4x2 + 6x, then           (4x2 + 6x) ÷ 2x = (2x+3)

#### Summary

In case of numbers Division is the inverse operation of multiplication but the same is applicable for the division of algebraic expressions also. Division of a monomial by another monomial To divide a monomial by a monomial, first express the numerator and the denominator in their irreducible form, and then cancel the common factors. Division of a polynomial by a monomial To divide a polynomial by a monomial, either divide each term of the numerator by the denominator or factorise the numerator by the common factor method. Division of a polynomial by a polynomial To divide a polynomial by a polynomial, first factorise the numerator and the denominator by using the appropriate method and then cancel the common factors. Dividend = Divisor × Quotient + Remainder. Hint: Division is the inverse operation of multiplication.           2x × (2x+3) = 4x2 + 6x, then           (4x2 + 6x) ÷ 2x = (2x+3)

Next