JSS3 First Term Mathematics Lesson Note – Factorization

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WEEK 4

TOPIC: FACTORIZATION

CONTENTS:

• Factorizing algebraic expressions
• Factorizing expressions with a common factor bracket and by grouping
• Special cases of factorization
• Using factorization to simplify expressions and coefficient of terms
• Word Problems Involving Factorization

REMOVING BRACKETS (REVISION)

Example 1

Remove brackets from

1. 3(2u – v)
2. (3a+8b)5a
3. -2n(7y – 4z)

Solutions

1. 3(2u – v) = 3 x 2u – 3 x v

= 6u – 3v

1. (3a + 8b)5a =3a x 5a + 8b x 5a

=15a² + 40ab

1. -2n(7y – 4z) =(-2n) x 7y – (-2n) x 4z

= -14ny + 8ny

FACTORIZATION BY TAKING COMMON FACTORS

To factorize an expression is to write it as a product of its factors

Example

Factorize the following:

1. 9a – 3z
2. 5x² + 15x
3. Factorize

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