GCCCD Factoring Methods Binomial Trinomial Polynomial Factors Questions

Assignment Expectations:

Length: 500+ words total for this assignment
Structure: Include a title page and reference page in APA style. These do not count towards the minimal word amount for this assignment.

References: Use the appropriate APA style in-text citations and references for all resources utilized to answer the questions. Include at least one (1) scholarly reference to support your claims. Use in-text citations as needed.Reflect upon “Factoring”, answer the following questions (be sure to detail how you arrived at your answer)

Strategy for success:

For each of the questions above, please go beyond the textbook and provide your own insights and analyses. Please use your own words to paraphrase and explain. Whenever you can, please offer real-world examples. Please be as detailed and as thorough as you can in providing mathematical calculations (i.e. beyond textual descriptions). Please do not just describe conceptual logic (even with some numbers) in paragraph format; your solutions should be mathematical equations with step-by-step calculations. Show all work. Where applicable, please include diagrams, graphs and charts.

Note: Please answer as required. Please CLEARLY label each question with the associated answer showing all work. Explain the logic by which you arrive at your mathematical answers. When applicable, show all steps of derivation. Since this is a math course, please do not provide just textual explanations. Please provide any diagrams, charts, graphs or other visualization to support your math. Type out equations and use computer graphs. Please do not submit hand-written images.

1. The greatest common factor of 36 and 60 is 12. Explain what this means.
2. How do you determine whether to use plus or minus signs in the binomial factors of a trinomial of the form x2 + bx + c where b and c may be positive or negative numbers?
3. How is the “ac” method similar to the “undo FOIL” method? How is it different?
4. What are the questions, in order, that you ask yourself as you start to factor a polynomial? What do you need to do as a result of the answer to each question?
5. Why was it important to practice using the binomial squares pattern in the chapter on multiplying polynomials?
6. Of all the factoring methods covered (GCF, grouping, undo FOIL, ‘ac’ method, special products) which is the easiest for you? Which is the hardest? Explain your answers.
7. Explain how you solve a quadratic equation. How many answers do you expect to get for a quadratic equation?
8. Give an example of a quadratic equation that has a GCF and none of the solutions to the equation is zero.