Each of Exercises 5–8 shows a complex rational expression and the first step taken to simplify that expression. Indicate for each which method is being used: (a) using division to simplify (Method 1) or (b) multiplying by the LCD (Method 2)
____________
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
- In Problems 31–40, find the complex zeros of each polynomial function. Write f in factored form.arrow_forwardRationalize the numerator of x+10 – 100 Paragraph A.arrow_forwardIn Problems 17–28, determine which functions are polynomial functions. For those that are, state the degree. For those that are not, tellwhy not. Write each polynomial in standard form. Then identify the leading term and the constant termarrow_forward
- For Exercises 115–120, factor the expressions over the set of complex numbers. For assistance, consider these examples. • In Section R.3 we saw that some expressions factor over the set of integers. For example: x - 4 = (x + 2)(x – 2). • Some expressions factor over the set of irrational numbers. For example: - 5 = (x + V5)(x – V5). To factor an expression such as x + 4, we need to factor over the set of complex numbers. For example, verify that x + 4 = (x + 2i)(x – 2i). 115. а. х - 9 116. а. х? - 100 117. а. х - 64 b. x + 9 b. + 100 b. x + 64 118. а. х — 25 119. а. х— 3 120. а. х — 11 b. x + 25 b. x + 3 b. x + 11arrow_forwardIn Problems 33–44, determine the maximum number of real zeros that each polynomial function may have. Then list the potential rationalzeros of each polynomial function. Do not attempt to find the zeros.arrow_forwardIn Problems 81–98, analyze each polynomial functionarrow_forward
- In Problems 21–32, use Descartes’ Rule of Signs to determine how many positive and how many negative zeros each polynomial functionmay have. Do not attempt to find the zeros.arrow_forwardIn Problems 99–106, analyze each polynomial function farrow_forwardExpand and simplify x(8 − x) − (4x + 6).arrow_forward
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning