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)
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Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
- Rationalize the numerator of x+10 – 100 Paragraph A.arrow_forwardIn Problems 21–32, tell the maximum number of real zeros that each polynomial function may have. Then use Descartes’ Rule of Signsto determine how many positive and how many negative zeros each polynomial function may have. Do not attempt to find the zerosarrow_forwardIn Problems 31–40, find the complex zeros of each polynomial function. Write f in factored form.arrow_forward
- In Problems 81–98, analyze each polynomial functionarrow_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_forwardFor 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_forward
- Based on a grade 11 student, answer the following question: Expand the following 2x(3x - y + 1)arrow_forwardIn 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_forwardExpand and simplify x(8 − x) − (4x + 6).arrow_forward
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning