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# Select two questions from the following list: When you convert a number from dec

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Select two questions from the following list:

When you convert a number from decimal notation to scientific notation, how do you know if the exponent will be positive or negative?

Which method do you prefer to use when multiplying two binomials: the Distributive Property or the FOIL method? Why?

Which method do you prefer to use when multiplying a polynomial by a polynomial: the Distributive Property or the Vertical Method? Why?

In your own words, write the steps for synthetic division for x2+5x+6 divided by x−2.

Many trinomials of the form x2+bx+c factor into the product of two binomials (x+m)(x+n). Explain how you find the values of m and n.

List, in order, all the steps you take when using the “ac” method to factor a trinomial of the form ax2+bx+c.

How is the “ac” method similar to the “undo FOIL” method? How is it different?

Of all the factoring methods covered in this chapter (GCF, grouping, undo FOIL, ‘ac’ method, special products) which is the easiest for you? Which is the hardest? Explain your answers.

Create three factoring problems that would be good test questions to measure your knowledge of factoring. Show the solutions.

Explain how you solve a quadratic equation. How many answers do you expect to get for a quadratic equation?

2. Prepare the solution to the selected exercise showing the solution on a step-by-step basis. If your response is a descriiption of a process, concept, or problem-solving technique then be sure to show at least one example to support your post.

3. Check the solution if possible.

4. Discuss the method of solving the exercise that was used and possible real-world applications that could be solved with the same technique.