45. a¹ + a²2=0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
icon
Related questions
Question

Please help 45

N
Help
ng
for
D
SEP
Write a polynomial equation of least degree for each set of roots. Does the
equation have an odd or even degree? How many times does the graph of the
related function cross the x-axis?
32. -2,3
33. -1, 1, 5
34. -2,-0.5, 4
37. -1, 1, 4, 4, 5
35. -3, -2i, 2i
36. −5i, —i, i, 5i
38. Write a polynomial equation of least degree whose roots are -1, 1, 3, and -3.
Polynomial and Rational Functions
www.amc.glencoe.com/self_check_quiz
OOO
D
CONTENTS
a. no x-intercept
d. three x-intercepts
6
Ò
39. x+8 = 0
40. a² - 81 = 0
42. t³ + 2t² − 4t - 8= 0 43. n³9n = 0
-
45. a¹ + a² - 2=0
the grapin th
the function. Bescriue witácttappens to the Tonmat Systone
:)
State the number of complex roots of each equation. Then find the roots and
graph the related function.
♫ 9 0
Q Search
46. x4 - 10x² + 9 = 0
tv
48. Solve (u + 1)(u² − 1) = 0 and graph the related polynomial function.
49. Sketch a fourth-degree equation for each situation.
b. one x-intercept
e. four x-intercepts
D) X ?
b. How many x-intercepts are there? Name the intercept(s).
50. Use a graphing calculator to graph f(x) = x4 - 2x² + 1.
a. What is the maximum number of x-intercepts possible for this function?
41.6²+36=0
44. 6c3-3c²- 45c = 0
47.4m4 + 17m² + 4 = 0
I
W
D
c. two x-intercepts
f. five x-intercepts
A
Ⓡ
Transcribed Image Text:N Help ng for D SEP Write a polynomial equation of least degree for each set of roots. Does the equation have an odd or even degree? How many times does the graph of the related function cross the x-axis? 32. -2,3 33. -1, 1, 5 34. -2,-0.5, 4 37. -1, 1, 4, 4, 5 35. -3, -2i, 2i 36. −5i, —i, i, 5i 38. Write a polynomial equation of least degree whose roots are -1, 1, 3, and -3. Polynomial and Rational Functions www.amc.glencoe.com/self_check_quiz OOO D CONTENTS a. no x-intercept d. three x-intercepts 6 Ò 39. x+8 = 0 40. a² - 81 = 0 42. t³ + 2t² − 4t - 8= 0 43. n³9n = 0 - 45. a¹ + a² - 2=0 the grapin th the function. Bescriue witácttappens to the Tonmat Systone :) State the number of complex roots of each equation. Then find the roots and graph the related function. ♫ 9 0 Q Search 46. x4 - 10x² + 9 = 0 tv 48. Solve (u + 1)(u² − 1) = 0 and graph the related polynomial function. 49. Sketch a fourth-degree equation for each situation. b. one x-intercept e. four x-intercepts D) X ? b. How many x-intercepts are there? Name the intercept(s). 50. Use a graphing calculator to graph f(x) = x4 - 2x² + 1. a. What is the maximum number of x-intercepts possible for this function? 41.6²+36=0 44. 6c3-3c²- 45c = 0 47.4m4 + 17m² + 4 = 0 I W D c. two x-intercepts f. five x-intercepts A Ⓡ
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
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