Research one of the methods listed above or another method of your choice for factoring trinomials of the form ax² + bx + c. State the method you are using and explain the process of factoring a trinomial in words, modeling the process by using examples that contain all the steps to factor the trinomial

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Factoring quadratic polynomials of the form ax² + bx + c. A number of different methods have been introduced to help students find the factors of quadratic polynomials. Some such methods of factoring ax² + bx + c are Factoring by Grouping, Box Method, Star Method/Diamond Method/X-method, and Tic-Tac-Toe Method.

 

  1. Research one of the methods listed above or another method of your choice for factoring trinomials of the form ax² + bx + c.
  2. State the method you are using and explain the process of factoring a trinomial in words, modeling the process by using examples that contain all the steps to factor the trinomial.
  3. Verify that your factors are correct by expanding the expression, combining like terms, and comparing to the initial trinomial.
  4. At least one of your examples must include a trinomial of the form ax² + bx + c, with a > 1 (e.g. 4x² - 15x - 25, or 2x² + 11x + 5)
  5. Complete using the template attached.

 

 

# Factoring Trinomials Guide

**Factoring Method:**  
[Text box for method]

**Description of Method:**  
[Text box for description]

---

**Example.**  
**Trinomial:**  

- \( a = \_\_\_\_, \, b = \_\_\_\_, \, c = \_\_\_\_ \)

[Space for solving the trinomial]

**Check your work by expansion.**

---

**Example.**  
**Trinomial:**  

- \( a = \_\_\_\_, \, b = \_\_\_\_, \, c = \_\_\_\_ \)

[Space for solving the trinomial]

**Check your work by expansion.**
Transcribed Image Text:# Factoring Trinomials Guide **Factoring Method:** [Text box for method] **Description of Method:** [Text box for description] --- **Example.** **Trinomial:** - \( a = \_\_\_\_, \, b = \_\_\_\_, \, c = \_\_\_\_ \) [Space for solving the trinomial] **Check your work by expansion.** --- **Example.** **Trinomial:** - \( a = \_\_\_\_, \, b = \_\_\_\_, \, c = \_\_\_\_ \) [Space for solving the trinomial] **Check your work by expansion.**
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