A function h is defined by: ?(?) = ??? + ?? + ?? − ??? When ?(?) is divided by (4 - q), the remainder is 72. Also, (2q - 5) is a factor of?(?). i. Calculate the values of a and b. ii. Hence or otherwise, determine all the factors of ?(?).

A function h is defined by: ?(?) = ??? + ?? + ?? − ??? When ?(?) is divided by (4 - q), the remainder is 72. Also, (2q - 5) is a factor of?(?). i. Calculate the values of a and b. ii. Hence or otherwise, determine all the factors of ?(?).

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.1: Functions

Problem 3E

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Question

A function h is defined by:
?(?) = ??? + ?? + ?? − ???
When ?(?) is divided by (4 - q), the remainder is 72. Also, (2q - 5) is a factor of?(?).
i. Calculate the values of a and b.
ii. Hence or otherwise, determine all the factors of ?(?).

Expert Solution