17 Oct Discussion 6 | Methods of Factoring Trinomials of the Form ax + bx + c To do: Make forum posts: 3 View grades
Discussion 6 | Methods of Factoring Trinomials of the Form ax + bx + c
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Many polynomial equations can be solved quite simply when the first step consists of factoring. Factoring is an essential skill to be mastered in an algebra course. While there are a number of different techniques that can be used to factor polynomial functions of all types, for our purposes we are going to focus on factoring quadratic polynomials of the form ax + bx + c. A number of different methods have been introduced to help students find the factors of quadratic polynomials. Some such methods of factoring ax + bx + c are Factoring by Grouping, Box Method, Star Method/Diamond Method/X-method, and Tic-Tac-Toe Method.
Respond
- Research one of the methods listed above or another method of your choice for factoring trinomials of the form ax + bx + c.
- Download and open the [DOWNLOAD] provided.
- 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.
- Note: A student who has little knowledge of factoring should be able to follow your steps in order to factor any trinomial using the explanation you provide.
- Your guide must include a minimum of two examples of factoring trinomials using your chosen method.
- At least one of your examples must include a trinomial of the form ax + bx + c, with a > 1 (e.g. 4x – 15x – 25, or 2x + 11x + 5).
- Verify that your factors are correct by expanding the expression, combining like terms, and comparing to the initial trinomial.
- Make sure to cite the sources you used for researching your preferred method.
- Submit your completed template to the discussion forum.
Requirements
- Initial Response: 150-250 words
- APA formatted sources required
Discuss
Respond to at least two peers who used a different method than you for factoring a quadratic polynomial.
- View your peers completed Factoring Trinomials Guide.
- Choose a factorable quadratic polynomial of the form ax + bx + c from this weeks practice exercises or readings.
- Use a blank Factoring Trinomials Guide Template to factor the quadratic polynomial.
- Factor the quadratic polynomial using your peers recommended method.
- Submit your steps and answer.
Requirements
- Respond to at least two of your peers
Discussion Instructions
- Post a substantive response to the prompt by the first deadline shown in the weekly overview text.
- Engage in discussion with peers about their original posts in an exchange of ideas, information, and perspectives that continues through the second deadline shown in the weekly overview text.
- Posts and responses made after the academic week will not count toward your grade.
- Always check your forum posts for spelling and grammar errors. Click the link in the Assignment Helps to learn how to spell-check your forum posts.
- Always refer to your course (opens in a new window) for details on grading criteria and the university’s late work policy.
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