Quadratic Equation

Mathematics SSS 2 First Term

Theme: Numbers and Numeration

WEEK 6

Quadratic Equation

Performance Objectives

Students should be able to solve quadratic equations by;

  1. Factorization
  2. Using perfect square
  3. Completing square
  4. Using quadratic formula

Factorization of Perfect Square

Content

To factorize a perfect square we will learn how to factor different types of algebraic expressions using the following identities.

(i) a2 + 2ab + b2 = (a + b)2 = (a + b) (a + b)

(ii) a2 – 2ab + b2 = (a – b)2 = (a – b) (a – b)

Examples;

1. Factorize  the perfect square completely:

(i) 4x2 + 9y2 + 12xy

Solution:

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