Factorization

1. Regrouping

1.1. Rearranging the expressions by trial and error method

1.2. which leads to factorization

1.3. then check common factor

2. Division of algebric expression

2.1. dividend= divisor x quotient + reminder

2.2. monomial by monomial

2.2.1. cancel common factors

2.3. monomial by trinomial

2.3.1. common factor method

2.3.2. divide each term of trinomial by monomial

2.4. polynomial by polynomial

2.4.1. Factorize both polynomials

2.4.2. cancel common factor

3. Factorization using identities

3.1. (a + b)2 = a2 + 2ab + b2

3.2. (a - b)2 = a2 - 2ab + b2

3.3. (a + b) (a - b) = a2 - b2

3.4. (x + a) (x + b) = x2 + x( a + b ) + ab