Factorización de un Trinomio de la forma x² + bx + c por Método de Tijera.
Factorization of Trinomials
Introduction to Factorization
- Profe Gabriel introduces the topic of trinomial factorization, specifically focusing on the form x^2 + rx + y.
- The method of "scissors" (factor by grouping) will be utilized for this factorization process.
Steps in Factorizing a Trinomial
- The first step involves identifying two numbers that multiply to give the quadratic term x cdot x, which is part of x^2.
- Next, students are prompted to find two numbers that multiply to the constant term, which is 24. Possible pairs include:
- 6 and 4
- 8 and 3
- 12 and 2
- 24 and 1
Testing Number Combinations
- An example pair (12 and -2) is chosen for testing; since one number must be positive and the other negative due to their product being negative.
- The selected numbers are tested through cross multiplication:
- Resulting products yield -2x from one combination and +12x from another.
Evaluating Results
- The sum of these products results in 10x, which does not match the middle term required for correct factorization.
- This discrepancy indicates a need to adjust the signs associated with the chosen numbers, suggesting a re-evaluation of their roles in achieving accurate factorization.