Factorización de un Trinomio de la forma ax² + bx + c por Método de Tijera.

Trinomios: Factoring by Element of Scissors

Introduction to Trinomials

• The video introduces the concept of updating trinomials using the "element of scissors" method, focusing on a trinomial in the form x^2 + bx + c, where the quadratic term has a coefficient different from 1.

Choosing Factors for Quadratic Terms

• The presenter reviews previous methods, emphasizing the need to select two numbers that multiply to give 6 (e.g., 3 and 2 or 6 and 1).

• For example, choosing factors like 3 and 2 allows for constructing x^2 + bx + c.

Selecting Independent Terms

• The next step involves selecting two numbers that multiply to yield 20. Possible pairs include 5 times 4 or 2 times 10.

• In this case, the presenter chooses 5 as positive and 4 as negative due to their product needing to be negative.

Verification of Selected Numbers

• To verify correctness, cross-multiplication is performed: multiplying across gives results such as 4 times 3 = 12x.

• The calculation also includes checking other products leading to terms like -10x, resulting in an overall expression of +2x.

Finalizing Factorization into Binomials

• The final step is expressing the trinomial as a product of two binomials, ensuring correct placement of values.

• A common mistake noted is misplacing values when forming binomials; it’s crucial to align with corresponding terms rather than just any selected number.