Factoring an expression in mathematics involves breaking down a complex expression into a product of simpler expressions (factors). It's the reverse process of expanding or multiplying out expressions. The goal is to rewrite an expression as a multiplication of two or more expressions.
Here are key aspects of factoring:
Definition: Factoring is the process of finding the expressions that multiply together to give the original expression. For example, factoring the number 12 results in 2 x 2 x 3, or 2<sup>2</sup> x 3. This concept extends to algebraic expressions as well. See: https://www.wikiwhat.page/kavramlar/What%20is%20Factoring
Common Factoring Techniques: There are various techniques used in factoring, including:
Purpose: Factoring simplifies expressions, helps solve equations, and enables operations like simplifying rational expressions (fractions with algebraic expressions). Factoring is vital for solving polynomial equations because if you have a factored expression equaling zero, then at least one of the factors must be zero. This is the zero product property.
Prime Factorization: Prime factorization involves breaking down an integer into a product of its prime numbers. This is a specific type of factoring. See: https://www.wikiwhat.page/kavramlar/Prime%20Factorization
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