Factorization of Algebraic Expressions Factorizing an algebraic expression involves breaking it down into its individual factors, which are simpler expressi...
Factorization of Algebraic Expressions
Factorizing an algebraic expression involves breaking it down into its individual factors, which are simpler expressions that can be multiplied together to form the original expression.
Basic Rules:
A factor of a constant is the constant itself.
A factor of the sum of two expressions is equal to the sum of the factors.
A factor of the difference between two expressions is equal to the difference of the factors.
A factor of a product of two expressions is equal to the product of the factors.
A factor of a quotient of two expressions is equal to the quotient of the factors.
Examples:
Factor the following expressions using the above rules:
x^2 + 4x + 4
Factor: (x + 2)(x + 2)
x^2 - 9
Factor: (x + 3)(x - 3)
x^3 + 8x
Factor: (x + 4)(x^2 - 4x + 8)
x^2 - 16
Factor: (x + 4)(x - 4)
(x + 3)/(x - 5)
Factor: (x + 3)(x - 5)