Unit 4: Factorization - Explanation & Examples Of Exercise 4.2 - Mathematics For Class IX (Science Group)

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Unit 4: Factorization
Explanation Of Exercise 4.2

FACTORIZATION EXPRESSIONS:
Those algebraic expressions which are neither perfect square nor in the form of the difference of two squares. Such expressions are factorize as:

Type 1: a⁴ + a²b² + b⁴ OR a⁴ + 4b⁴
Such expression is factorize by Adding Or Subtracting Middle Term
Middle term is added or subtracted to make an expression a perfect square.
Examples:

Type 2: x² + px + q
Factorize The Expression by Breaking Middle Term

Type 3: ax² + bx + c, a ≠ 0
To factorize The expression ax² + bx + c, a ≠ 0, the following steps are needed:

1. Find the product ac, where a is coefficient of x² and c is constant.
2. Find the two numbers x₁ and x₂ such that x₁ + x₁ = b and x₁.x₂ = ac.