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For Exercises 54–60, a. List all possible rational roots or rational zeros. b. Use Descartes's Rule of Signs to determine the possible number of positive and negative real roots or real zeros. c. Use synthetic division to test the possible rational roots or zeros and find an actual root or zero. d. Use the quotient from part (c) to find all the remaining roots or zeros. 54. f(x) = x' + 3x² – 4 55. flx) = 6x + x² – 4x + 1 %3D 56. 8x - 36xr? + 46x - 15 = 0 57. 2x + 9x2 - 7x + 1 = 0 58. x* - x - 7x2 + x + 6 = 0 59. 4x* + 7x - 2 = 0 60. f(x) = 2x* + x³ – 9x² – 4x + 4

For Exercises 54–60, a. List all possible rational roots or rational zeros. b. Use Descartes's Rule of Signs to determine the possible number of positive and negative real roots or real zeros. c. Use synthetic division to test the possible rational roots or zeros and find an actual root or zero. d. Use the quotient from part (c) to find all the remaining roots or zeros. 54. f(x) = x' + 3x² – 4 55. flx) = 6x + x² – 4x + 1 %3D 56. 8x - 36xr? + 46x - 15 = 0 57. 2x + 9x2 - 7x + 1 = 0 58. x* - x - 7x2 + x + 6 = 0 59. 4x* + 7x - 2 = 0 60. f(x) = 2x* + x³ – 9x² – 4x + 4

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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For Exercises 54–60, a. List all possible rational roots or rational zeros. b. Use Descartes's Rule of Signs to determine the possible number of positive and negative real roots or real zeros. c. Use synthetic division to test the possible rational roots or zeros and find an actual root or zero. d. Use the quotient from part (c) to find all the remaining roots or zeros. 54. f(x) = x' + 3x² – 4 55. flx) = 6x + x² – 4x + 1 %3D 56. 8x - 36xr? + 46x - 15 = 0 57. 2x + 9x2 - 7x + 1 = 0 58. x* - x - 7x2 + x + 6 = 0 59. 4x* + 7x - 2 = 0 60. f(x) = 2x* + x³ – 9x² – 4x + 4
Transcribed Image Text:For Exercises 54–60, a. List all possible rational roots or rational zeros. b. Use Descartes's Rule of Signs to determine the possible number of positive and negative real roots or real zeros. c. Use synthetic division to test the possible rational roots or zeros and find an actual root or zero. d. Use the quotient from part (c) to find all the remaining roots or zeros. 54. f(x) = x' + 3x² – 4 55. flx) = 6x + x² – 4x + 1 %3D 56. 8x - 36xr? + 46x - 15 = 0 57. 2x + 9x2 - 7x + 1 = 0 58. x* - x - 7x2 + x + 6 = 0 59. 4x* + 7x - 2 = 0 60. f(x) = 2x* + x³ – 9x² – 4x + 4
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