# polynomial equations

### Review

Review this week’s assigned readings and resources to prepare for this discussion, as well as

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.

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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 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.

### Respond

1. Research one of the methods listed above or another method of your choice for factoring trinomials of the form ax² + bx + c.
3. 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 ax² + bx + c, with a > 1 (e.g. 4x² – 15x – 25, or 2x² + 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.

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