Calculus: An Applied Approach (MindTap Course List)
10th Edition
ISBN: 9781305860919
Author: Ron Larson
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter A4, Problem 40E
To determine
To calculate: The zeros of the polynomial
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
In Exercises 133–136, factor each polynomial completely. Assume
that any variable exponents represent whole numbers.
133. y + x + x + y
134. 36x2" – y2n
135. x*
3n
12n
136. 4x2" + 20x"y" + 25y2m
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 + 11
In Exercises 102–103, perform the indicated operations. Assume
that exponents represent whole numbers.
102. (x2n – 3x" + 5) + (4x2" – 3x" – 4) – (2x2 – 5x" – 3)
103. (y3n – 7y2n + 3) – (-3y3n – 2y2" – 1) + (6y3n – yn + 1)
104. From what polynomial must 4x? + 2x – 3 be subtracted to
obtain 5x? – 5x + 8?
Chapter A4 Solutions
Calculus: An Applied Approach (MindTap Course List)
Ch. A4 - Prob. 1CPCh. A4 - Prob. 2CPCh. A4 - Prob. 3CPCh. A4 - Prob. 4CPCh. A4 - Prob. 1ECh. A4 - Prob. 2ECh. A4 - Prob. 3ECh. A4 - Prob. 4ECh. A4 - Prob. 5ECh. A4 - Prob. 6E
Ch. A4 - Prob. 7ECh. A4 - Prob. 8ECh. A4 - Prob. 9ECh. A4 - Prob. 10ECh. A4 - Prob. 11ECh. A4 - Prob. 12ECh. A4 - Prob. 13ECh. A4 - Prob. 14ECh. A4 - Prob. 15ECh. A4 - Prob. 16ECh. A4 - Factoring Polynomials In Exercises 9-18, write the...Ch. A4 - Prob. 18ECh. A4 - Prob. 19ECh. A4 - Prob. 20ECh. A4 - Prob. 21ECh. A4 - Prob. 22ECh. A4 - Prob. 23ECh. A4 - Prob. 24ECh. A4 - Prob. 25ECh. A4 - Prob. 26ECh. A4 - Prob. 27ECh. A4 - Prob. 28ECh. A4 - Prob. 29ECh. A4 - Prob. 30ECh. A4 - Prob. 31ECh. A4 - Prob. 32ECh. A4 - Prob. 33ECh. A4 - Prob. 34ECh. A4 - Prob. 35ECh. A4 - Prob. 36ECh. A4 - Prob. 37ECh. A4 - Prob. 38ECh. A4 - Prob. 39ECh. A4 - Prob. 40ECh. A4 - Prob. 41ECh. A4 - Prob. 42ECh. A4 - Prob. 43ECh. A4 - Prob. 44ECh. A4 - Prob. 45ECh. A4 - Prob. 46ECh. A4 - Prob. 47ECh. A4 - Prob. 48ECh. A4 - Prob. 49ECh. A4 - Prob. 50ECh. A4 - Prob. 51ECh. A4 - Prob. 52ECh. A4 - Prob. 53ECh. A4 - Prob. 54ECh. A4 - Prob. 55ECh. A4 - Prob. 56ECh. A4 - Prob. 57ECh. A4 - Prob. 58ECh. A4 - Prob. 59ECh. A4 - Prob. 60ECh. A4 - Prob. 61ECh. A4 - Prob. 62ECh. A4 - Prob. 63ECh. A4 - Prob. 64ECh. A4 - Prob. 65ECh. A4 - Prob. 66ECh. A4 - Prob. 67ECh. A4 - Prob. 68ECh. A4 - Prob. 69ECh. A4 - Prob. 70ECh. A4 - Prob. 71ECh. A4 - Prob. 72ECh. A4 - Prob. 73ECh. A4 - Prob. 74ECh. A4 - Prob. 75ECh. A4 - Prob. 76E
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- In 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_forwardIn Exercises 132–137, factor each polynomial. Assume that all variable exponents represent whole numbers. 132. 9x2" + x" – 8 133. 4x2n – 9x" + 5 134. an+2 – a"+2 – 6a? 135. b2n+2 + 3b"+2 10b2 136. 3c"+2 10c"+1 + 3c" 137. 2d"+2 5d"+1 + 3d"arrow_forwardIn Exercises 115–116, express each polynomial in standard form-that is, in descending powers of x. a. Write a polynomial that represents the area of the large rectangle. b. Write a polynomial that represents the area of the small, unshaded rectangle. c. Write a polynomial that represents the area of the shaded blue region. 115. -x + 9- -x +5- x + 3 x + 15 -x + 4- x + 2 116. x + 3 x + 1arrow_forward
- In Exercises 101–103, perform the indicated operations. 1 1 1 101. x" – 1 x" + 1 x2" – 1 (1-X- -X ) (1 – (1 – 102. (1 - x + 1) x + 2 x + 3 103. (x – y)-1 + (x – y)-2arrow_forwardPart A: Create a fourth degree polynomial with three terms in standard form. How do you know it is in standard form? Part B : Explain the closure property as it relates to addition of polynomials. Give an example.arrow_forwardExercises 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_forward
- II Pause Q Zoom Question 5 When (x+ 2)" is written as a polynomial, what is the coefficient of the term containing x? A 15 60 120 ©2021 Illuminate Education TM Inc. |田arrow_forwardQuestion 22arrow_forwardest.html?rowid3D1168028%#3question5 Reading ruler Magni fier Highlight mode Review later 5. Algebraically, find all zeros of p(x) = x +13x² - 48 in simplest form. %3D Aarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Polynomials with Trigonometric Solutions (2 of 3: Substitute & solve); Author: Eddie Woo;https://www.youtube.com/watch?v=EnfhYp4o20w;License: Standard YouTube License, CC-BY
Quick Revision of Polynomials | Tricks to Solve Polynomials in Algebra | Maths Tricks | Letstute; Author: Let'stute;https://www.youtube.com/watch?v=YmDnGcol-gs;License: Standard YouTube License, CC-BY
Introduction to Polynomials; Author: Professor Dave Explains;https://www.youtube.com/watch?v=nPPNgin7W7Y;License: Standard Youtube License