Homework Help is Here – Start Your Trial Now!
Math
Calculus
Use all available methods to solve each polynomial equation. Use the Linear Factors Theorem to make sure you find the appropriate number of solutions, counting 18. x*+15 = 2x³ +8x² – 10x %3D 17. x'+4x* +x = 10x² +4x –8 20. x' -9x² = 30– 28x 19. x +x' +3x² +5x – 10 = 0 21. x+x* -x'+7x² – 20x+12 = 0 22. 2x -5x' - 2x² +15x = 0 23. x+15x +16 = x* +15x? +16x 24. x -5 = 5x² -9x Use all available methods (in particular, the Conjugate Roots Theorem, if applicable) to factor each of the following polynomials completely, making use of the given zero if one is given. See Example 2. 25. f(x)= x* -9x³ +27x² – 15x – 52; 3–2i is a zero. 26. g(x)= x³ -(1-i)x² -(8-i)x+(12-6i); 2-i is a zero. 27. f(x)= x' -(2+3i)x² -(1–3i)x+(2+6i); 2 is a zero. 28. p(x)= x* –2x³ +14x² – 8x + 40; 2i is a zero. %3%D= 29. n(x)= x* -4x +6x? + 28x-91; 2+3i is a zero. %3D 30. G(x)= x* - 14x° +98x? – 686x+2401; 7i is a zero. %3D 31. f(x)= x* – 3x' +5x? – x - 10 32. g(x)= x° -8x° +25x* - 40x³ +40x² - 32x +16 .3. The Fundamental Theorem of 33. r(x)= x“ +7x³ – 41x² +33x 34. d(x)= x° -x' – 18x³ +18x² +81x–81 35. P(x)= x³ -6x² +28x– 40 36. g(x)= x° –x* – 16x² +16 =DX Construct polynomial functions with the sta 37. Third-degree, only real coefficients, -1 and 5+i are two of the zeros,

Use all available methods to solve each polynomial equation. Use the Linear Factors Theorem to make sure you find the appropriate number of solutions, counting 18. x*+15 = 2x³ +8x² – 10x %3D 17. x'+4x* +x = 10x² +4x –8 20. x' -9x² = 30– 28x 19. x +x' +3x² +5x – 10 = 0 21. x+x* -x'+7x² – 20x+12 = 0 22. 2x -5x' - 2x² +15x = 0 23. x+15x +16 = x* +15x? +16x 24. x -5 = 5x² -9x Use all available methods (in particular, the Conjugate Roots Theorem, if applicable) to factor each of the following polynomials completely, making use of the given zero if one is given. See Example 2. 25. f(x)= x* -9x³ +27x² – 15x – 52; 3–2i is a zero. 26. g(x)= x³ -(1-i)x² -(8-i)x+(12-6i); 2-i is a zero. 27. f(x)= x' -(2+3i)x² -(1–3i)x+(2+6i); 2 is a zero. 28. p(x)= x* –2x³ +14x² – 8x + 40; 2i is a zero. %3%D= 29. n(x)= x* -4x +6x? + 28x-91; 2+3i is a zero. %3D 30. G(x)= x* - 14x° +98x? – 686x+2401; 7i is a zero. %3D 31. f(x)= x* – 3x' +5x? – x - 10 32. g(x)= x° -8x° +25x* - 40x³ +40x² - 32x +16 .3. The Fundamental Theorem of 33. r(x)= x“ +7x³ – 41x² +33x 34. d(x)= x° -x' – 18x³ +18x² +81x–81 35. P(x)= x³ -6x² +28x– 40 36. g(x)= x° –x* – 16x² +16 =DX Construct polynomial functions with the sta 37. Third-degree, only real coefficients, -1 and 5+i are two of the zeros,

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.2: Adding And Subtracting Polynomials
Problem 13ST
See similar textbooks
icon
Related questions
icon
Concept explainers
Topic Video
Question

#25, #30, #32 and, #33

Use all available methods to solve each polynomial equation. Use the Linear Factors Theorem to make sure you find the appropriate number of solutions, counting 18. x*+15 = 2x³ +8x² – 10x %3D 17. x'+4x* +x = 10x² +4x –8 20. x' -9x² = 30– 28x 19. x +x' +3x² +5x – 10 = 0 21. x+x* -x'+7x² – 20x+12 = 0 22. 2x -5x' - 2x² +15x = 0 23. x+15x +16 = x* +15x? +16x 24. x -5 = 5x² -9x Use all available methods (in particular, the Conjugate Roots Theorem, if applicable) to factor each of the following polynomials completely, making use of the given zero if one is given. See Example 2. 25. f(x)= x* -9x³ +27x² – 15x – 52; 3–2i is a zero. 26. g(x)= x³ -(1-i)x² -(8-i)x+(12-6i); 2-i is a zero. 27. f(x)= x' -(2+3i)x² -(1–3i)x+(2+6i); 2 is a zero. 28. p(x)= x* –2x³ +14x² – 8x + 40; 2i is a zero. %3%D= 29. n(x)= x* -4x +6x? + 28x-91; 2+3i is a zero. %3D 30. G(x)= x* - 14x° +98x? – 686x+2401; 7i is a zero. %3D 31. f(x)= x* – 3x' +5x? – x - 10 32. g(x)= x° -8x° +25x* - 40x³ +40x² - 32x +16 .3.
Transcribed Image Text:Use all available methods to solve each polynomial equation. Use the Linear Factors Theorem to make sure you find the appropriate number of solutions, counting 18. x*+15 = 2x³ +8x² – 10x %3D 17. x'+4x* +x = 10x² +4x –8 20. x' -9x² = 30– 28x 19. x +x' +3x² +5x – 10 = 0 21. x+x* -x'+7x² – 20x+12 = 0 22. 2x -5x' - 2x² +15x = 0 23. x+15x +16 = x* +15x? +16x 24. x -5 = 5x² -9x Use all available methods (in particular, the Conjugate Roots Theorem, if applicable) to factor each of the following polynomials completely, making use of the given zero if one is given. See Example 2. 25. f(x)= x* -9x³ +27x² – 15x – 52; 3–2i is a zero. 26. g(x)= x³ -(1-i)x² -(8-i)x+(12-6i); 2-i is a zero. 27. f(x)= x' -(2+3i)x² -(1–3i)x+(2+6i); 2 is a zero. 28. p(x)= x* –2x³ +14x² – 8x + 40; 2i is a zero. %3%D= 29. n(x)= x* -4x +6x? + 28x-91; 2+3i is a zero. %3D 30. G(x)= x* - 14x° +98x? – 686x+2401; 7i is a zero. %3D 31. f(x)= x* – 3x' +5x? – x - 10 32. g(x)= x° -8x° +25x* - 40x³ +40x² - 32x +16 .3.
The Fundamental Theorem of 33. r(x)= x“ +7x³ – 41x² +33x 34. d(x)= x° -x' – 18x³ +18x² +81x–81 35. P(x)= x³ -6x² +28x– 40 36. g(x)= x° –x* – 16x² +16 =DX Construct polynomial functions with the sta 37. Third-degree, only real coefficients, -1 and 5+i are two of the zeros,
Transcribed Image Text:The Fundamental Theorem of 33. r(x)= x“ +7x³ – 41x² +33x 34. d(x)= x° -x' – 18x³ +18x² +81x–81 35. P(x)= x³ -6x² +28x– 40 36. g(x)= x° –x* – 16x² +16 =DX Construct polynomial functions with the sta 37. Third-degree, only real coefficients, -1 and 5+i are two of the zeros,
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Application of Algebra
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.
Recommended textbooks for you
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
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
SEE MORE TEXTBOOKS