State the number of complex roots of each equation. Then find the roots and graph the related function. 39. x+8 = 0 40. a² - 81 = 0 41.6²+36=0

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
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Please help 39 

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 Ⓡ
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