Factorization of Algebraic Expressions Class 8 Urdu/Hindi | Naimat Maths

In this video you will learn Factorization of Algebraic Expressions Basic Method.

Factorization of algebraic expressions means finding the factors of the given expression which refers to finding two or more expressions whose product is the given expression. This process of finding two or more expressions whose product is the given expression is known as the factorization of algebraic expressions. A factor is a number that divides the given number without any remainder. It simply means expressing a number as a multiplication of two other numbers. Similarly, in Algebra we write the algebraic expressions as a product of their factors. The only difference here is that an algebraic expression involves numbers and variables combined with an arithmetic operation like addition or subtraction.

In this video, we will learn about factorization, how to factorize algebraic expressions using various methods, and identities with solved examples practice questions.

'Factor' is a term used to express a number as a product of any two numbers. Factorization is a method of finding factors for any mathematical object, be it a number, a polynomial or any algebraic expression. Thus, factorization of an algebraic expression refers to finding out the factors of the given algebraic expression.

We know that an algebraic expression is made up of terms. For example, the term
7xy can be factorized as 7×x×y. This term cannot be factorized further.

Now let us explore the method used to factorize algebraic expressions:

Step 1. Express each term into product of factors.
Step 2. Look for common factors.
Step 3. Use Factorization Techniques.
(i) Factoring by grouping.
(ii) Factoring quadratics.
(iii) Factors by special products.
(iv) Factors by substitutions.
Step 4. Check for further factorization.
Step 5. Verify your factorization.

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