A function h is defined by:H(q)=aq^3+q^2+bq-240 When ?(?) is divided by (4 - q), the remainder is 72. Also, (2q - 5) is a factor of ?(?). Calculate the values of a and b. Hence or otherwise, determine all the factors of ?(?).
A function h is defined by:H(q)=aq^3+q^2+bq-240 When ?(?) is divided by (4 - q), the remainder is 72. Also, (2q - 5) is a factor of ?(?). Calculate the values of a and b. Hence or otherwise, determine all the factors of ?(?).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 51E
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A function h is defined by:H(q)=aq^3+q^2+bq-240
When ?(?) is divided by (4 - q), the remainder is 72. Also, (2q - 5) is a factor of ?(?).
- Calculate the values of a and b.
- Hence or otherwise, determine all the factors of ?(?).
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