Homework Help is Here – Start Your Trial Now!
Math
Algebra
a) Function f(x) is defined as f(x) = 54x³ + 21x² - 23x - 10. When f(x) is divided by (3x - k), the remainder is 2k³ - 8k. i. Use the Remainder Theorem to find the values of k. ii. Divide f(x) by (9x + 5) and hence factorise f(x) completely.

a) Function f(x) is defined as f(x) = 54x³ + 21x² - 23x - 10. When f(x) is divided by (3x - k), the remainder is 2k³ - 8k. i. Use the Remainder Theorem to find the values of k. ii. Divide f(x) by (9x + 5) and hence factorise f(x) completely.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 79E
See similar textbooks
icon
Related questions
Question
3a
a) Function f(x) is defined as f(x) = 54x³ +21x² - 23x - 10. When f(x) is divided by (3x - k), the remainder is 2k³ - 8k. İ. Use the Remainder Theorem to find the values of k. ii. Divide f(x) by (9x + 5) and hence factorise f(x) completely.
Transcribed Image Text:a) Function f(x) is defined as f(x) = 54x³ +21x² - 23x - 10. When f(x) is divided by (3x - k), the remainder is 2k³ - 8k. İ. Use the Remainder Theorem to find the values of k. ii. Divide f(x) by (9x + 5) and hence factorise f(x) completely.
Expert Solution
steps

Step by step

Solved in 4 steps with 9 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS