Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
14th Edition
ISBN: 9780134668574
Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker
Publisher: PEARSON
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Chapter A.3, Problem 19E
To determine
To find: The factors of the polynomial
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Exercises 143–145 will help you prepare for the material covered
in the next section. In each exercise, factor completely.
143. 2r + 8x? + 8x
144. 5x3 – 40x?y + 35xy2
145. 96?x + 9b²y – 16x – 16y
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In Problems 5–12, tell whether the given rational expression is proper or improper. If improper, rewrite it as the sum of a polynomialand a proper rational expression.
In Problems 87–92, solve each equation by completing the square.
Chapter A.3 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Ch. A.3 - Factor out all factors common to all terms....Ch. A.3 - Prob. 2MPCh. A.3 - Prob. 3MPCh. A.3 - Factor completely: (A)x2+6xy+9y2 (B)9x24y2 (C)8m31...Ch. A.3 - Factor completely. (A)18x38x (B)4m3n2m2n2+2mn3...Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - Prob. 3ECh. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - Prob. 5E
Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - In Problems 918, factor by grouping. 9.2x2x+4x2Ch. A.3 - In Problems 918, factor by grouping. 10.x23x+2x6Ch. A.3 - In Problems 918, factor by grouping. 11.3y23y+2y2Ch. A.3 - In Problems 918, factor by grouping. 12.2x2x+6x3Ch. A.3 - In Problems 918, factor by grouping. 13.2x2+8xx4Ch. A.3 - In Problems 918, factor by grouping. 14.6x2+9x2x3Ch. A.3 - In Problems 918, factor by grouping. 15.wywz+xyxzCh. A.3 - In Problems 918, factor by grouping....Ch. A.3 - In Problems 918, factor by grouping....Ch. A.3 - In Problems 918, factor by grouping. 18.ab+6+2a+3bCh. A.3 - Prob. 19ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 26ECh. A.3 - Prob. 27ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 29ECh. A.3 - Prob. 30ECh. A.3 - Prob. 31ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 36ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 39ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 45ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 47ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 50ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 53ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 57ECh. A.3 - In Problems 5760, discuss the validity of each...Ch. A.3 - In Problems 5760, discuss the validity of each...Ch. A.3 - In Problems 5760, discuss the validity of each...
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- In Problems 49–54, perform the indicated operations, and express your answer in the form a + biarrow_forwardIn Problems 57–68, solve each equation in the real number system. 57. x* - x + 2x? - 4x - 8 = 0 58. 2x + 3x? + 2x + 3 = 0 59. 3x + 4x? - 7x + 2 = 0 60. 2x – 3x –- 3x – 5 = 0 234 CHAPTER 4 Polynomial and Rational Functions 61. 3x – x? - 15x + 5 = 0 62. 2x - 11x² + 10x + 8 = 0 63. x* + 4x + 2r? - x + 6 = 0 64. x* - 2x + 10x? - 1&r + 9 == (0 8 +x +1 = 0 65. x 66. х + + 3x - 2 = 0 67. 2x - 19x + 57x - 64x + 20 = 0 68. 2x + x - 24x + 20x + 16 = 0arrow_forwardIn Problems 81–86, solve each equation by the Square Root Method.arrow_forward
- 3. Factor. x 2+5x -36= (x-A) (x+B) where A= B=arrow_forwardFor Exercises 39–42, multiply the radicals and simplify. Assume that all variable expressions represent positive real numbers. 39. (6V5 – 2V3)(2V3 + 5V3) 40. (7V2 – 2VIT)(7V2 + 2V1T) 41. (2c²Va – 5ď Vc) 42. (Vx + 2 + 4)²arrow_forwardIn Exercises 126–129, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. 126. Once a GCF is factored from 6y – 19y + 10y“, the remaining trinomial factor is prime. 127. One factor of 8y² – 51y + 18 is 8y – 3. 128. We can immediately tell that 6x? – 11xy – 10y? is prime because 11 is a prime number and the polynomial contains two variables. 129. A factor of 12x2 – 19xy + 5y² is 4x – y.arrow_forward
- Exercises 38–40 will help you prepare for the material covered in the first section of the next chapter. In Exercises 38-39, simplify each algebraic expression. 38. (-9x³ + 7x? - 5x + 3) + (13x + 2r? – &x – 6) 39. (7x3 – 8x? + 9x – 6) – (2x – 6x? – 3x + 9) 40. The figures show the graphs of two functions. y y 201 10- .... -20- flx) = x³ glx) = -0.3x + 4x + 2arrow_forwardSimplify the algebraic expressions in Problems 1–14 by combining similar terms. 5x - 8x + xarrow_forward1.2. Factorise the following completely: 5x(p – q) + 8y(q – p) – 3y(p – q) a. b. 5x2 - 12x + 4 C. a² + a(4 + b) + 4b d. x* - 81 e. 6x²y-10xy + 15x - 25 Question 2 olify thearrow_forward
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