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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.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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.
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