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.

To find the values of k using the Remainder Theorem, we need to equate the remainder when dividing…

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.

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter5: Polynomials And Polynomial Functions

Section5.4: Dividing Polynomials

Problem 5.90TI: Use the Remainder Theorem to find the remainder when f(x)=x37x+12 is divided by x+3 .

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Question

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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