faktoriseeru

Faktoriseeru is a term used in mathematics to describe the process of breaking down a number or an algebraic expression into its factors. Factors are numbers or expressions that, when multiplied together, produce the original number or expression. This process is fundamental in simplifying expressions, solving equations, and understanding the structure of numbers and polynomials.

For numerical factorization, it involves finding prime numbers that multiply to give the original integer. For example, the prime factorization of 12 is 2 x 2 x 3. In algebra, factorisation involves rewriting a polynomial as a product of simpler polynomials. A common example is factoring the expression x^2 - 4, which can be written as (x - 2)(x + 2). Various techniques exist for factorization, including finding common factors, using algebraic identities like the difference of squares or perfect square trinomials, and grouping terms.

The ability to factorise is crucial for solving quadratic equations, simplifying rational expressions, and in many areas of higher mathematics. It is a foundational skill that allows for a deeper understanding of mathematical relationships and structures.

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