Problems 1-9

PROBLEM 5: Simplifying Radicals

Find the rational exponent problems assigned to you in the table below. The last letter of my first name is M or Z On pages 576 – 577, do the following problem 38 and 72 • Simplify each expression using the rules of exponents and examine the steps you are taking. • Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing the thought behind your math work.):  o Principal root  o Product rule  o Quotient rule  o Reciprocal  o nth root  Refer to Inserting Math Symbols for guidance with formatting. Be aware that with regards to the square root symbol, you will notice that it only shows the front part of a radical and not the top bar. Thus, it is impossible to tell how much of an expression is included in the radical itself unless you use parenthesis. For example, if we have ?12 + 9 it is not enough for us to know if the 9 is under the radical with the 12 or not. Thus we must specify whether we mean it to say ?(12) + 9 or ?(12 + 9). As there is a big difference between the two, this distinction is important in your notation. Another solution is to type the letters “sqrt” in place of the radical and use parenthesis to indicate how much is included in the radical as described in the second method above. The example above would appear as either “sqrt(12) + 9” or “sqrt(12 + 9)” depending on what we needed it to say.

PROBLEM 9: DUE IN 30 HRS

Topic: Can’t Cancel Terms

Number of Pages: 1 (Double Spaced)

In this discussion, you are assigned two rational expressions with which you will then do a variety of math work. Remember that each polynomial must be fully factored and that you can only cancel factors; you cannot cancel terms. • Find your two rational expressions in the list below based on your first initial. The first initial is A-L Your first rational expression 7-3b/b to the 2power-12b+20  Your Second rational expression is.  3b-7/b to the 2power-20b+100 • Find the domain of each of the rational expressions. (Identify which values of x will make the denominator zero and thus are not allowed in the domain.)  • Divide your first rational expression by the second one. Write the answer in lowest terms.  • Find and state the common denominator between the two expressions. Build up each expression so that it has the common denominator. (Remember not to do any canceling at this point since you need those extra factors for the common denominator.)  • Add the two rational expressions together. Factor again if possible, and present the answer in lowest terms.  • Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.): o Domain  o Lowest terms  o Opposites  o LCD  o Build up