Maths Factorization part 9 (Division) CBSE Class 8 Mathematics VIII

TL;DR

Learn how to factorize and divide algebraic expressions, including monomials, polynomials, and complex expressions.

Transcript

hello can this video on factorization part 9 is brought to you by exam fear calm no more fear from exam now that we must learn how to do factorization of algebraic expressions let's also see how do we perform divisions with algebraic expressions here you see some complex algebraic equations from where malunions and the polynomials which are getting... Read More

Key Insights

• 😑 Factorizing monomials and polynomials is an essential step in dividing algebraic expressions.
• 😑 Common factors can be cancelled out during division, simplifying the expression.
• 🧑‍🏭 Division of polynomials by polynomials requires factorizing and cancelling common factors in individual terms.
• 💁 Understanding the forms and types of factors is crucial in determining if cancellation is possible during division.

Questions & Answers

Q: What is the first step in dividing monomials?

The first step is to factorize each term of the numerator and denominator into its irreducible factors. For example, the expression 24xy^2z^3 divided by 6yz^2 can be factorized as (2^3)(3)(x)(y^2)(z^3) divided by (2)(3)(y)(z^2).

Q: What happens when there are common factors in the numerator and denominator?

Common factors can be cancelled out during division. For example, if the numerator has 2y and the denominator has 2y, they will cancel, leaving the result without those factors.

Q: Can monomials be divided by polynomials?

Yes, monomials can be divided by polynomials. The process is similar to dividing monomials by monomials, but each term of the polynomial is divided separately.

Q: Is it always possible to cancel common factors during division?

It is only possible to cancel common factors if the factors are in the same form and can be represented as multiplication. If the factors have different forms, cancellation is not possible.

Summary & Key Takeaways

• The video teaches how to perform divisions with algebraic expressions, starting with monomials divided by monomials.

• It demonstrates the step-by-step process of factorizing the expressions and cancelling common factors during division.

• The video also covers dividing a polynomial by a monomial and dividing a polynomial by another polynomial, using the same process.