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Factorización de un Trinomio Cuadrado Perfecto por Método de Tijera. Parte 2
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Factorización de un Trinomio Cuadrado Perfecto por Método de Tijera. Parte 2

Factorization of Perfect Square Trinomials

Introduction to Factorization

  • The instructor, Profe Gabriel, introduces the topic of factorizing perfect square trinomials (TCP).
  • He emphasizes the importance of selecting two numbers that multiply to the first term's value, using 4 as an example.

Choosing Numbers for Factorization

  • For the number 4, possible pairs include (4, 1) and (2, 2). The instructor decides to test with (4, 1).
  • He explains that for the third term (25), he will use (5, 5) to ensure a positive result when multiplied.

Verification Process

  • After choosing numbers, he stresses the need for verification by cross-multiplying.
  • The products yield -20x and -25x; however, they do not match the second term of the trinomial.

Adjusting Choices

  • Since initial choices did not satisfy conditions, he modifies his selection from (4, 1) to (2, 2).
  • This adjustment leads to successful verification with results aligning correctly with expected values.

Final Steps in Factorization

  • The instructor advises keeping one pair fixed while adjusting others for better results during trials.
  • Once verified successfully, he concludes by forming two binomials based on selected terms.
Video description

En este video aprenderemos a factorizar un trinomio cuadrado perfecto en el cual el coeficiente del término cuadrático es diferente a 1, para lo cual haremos uso del método general llamado tijera.