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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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