Faktorizohet

Faktorizohet 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. For example, the number 12 can be factorized into its prime factors as 2 x 2 x 3.

In algebra, factorization involves finding simpler expressions that multiply to give the original expression. Common techniques include factoring out the greatest common factor (GCF), factoring quadratic expressions (trinomials), and using special factoring formulas like the difference of squares or the sum/difference of cubes.

The ability to factorize is crucial for solving equations, simplifying expressions, and understanding the structure of mathematical objects. For instance, factoring a quadratic equation into the form (x - a)(x - b) = 0 directly reveals its roots, x = a and x = b. Similarly, simplifying complex algebraic fractions often relies on factoring both the numerator and the denominator to cancel out common terms.

The concept of factorization is fundamental and appears across various branches of mathematics, from elementary arithmetic to abstract algebra. It is a core skill developed in secondary school mathematics and is continually applied in higher-level studies.