By using the remainder theorem, show that (x+a+b) is a factor of the expression: (x+a)* +(x+b)* –x* +(a+b)* –a* – b* 1 Then show that the expression: (x+2)* +(x+5)* – x* +1760 Can be written in the above form and thus, deduct a factor of ttthe expression. Finally find a linear factor in x, y,z for: y* +z* -x* + (y+z– 2x)* – (y – x)* – (z– x)*

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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By using the remainder theorem, show that (x+a+b) is a factor of the
expression:
(x+a)* +(x+b)* –x* +(a+b)* –a* – b*
1
Then show that the expression:
(x+2)* +(x+5)* – x* +1760
Can be written in the above form and thus, deduct a factor of ttthe expression.
Finally find a linear factor in x, y,z for:
y* +z* -x* + (y+z– 2x)* – (y – x)* – (z– x)*
Transcribed Image Text:By using the remainder theorem, show that (x+a+b) is a factor of the expression: (x+a)* +(x+b)* –x* +(a+b)* –a* – b* 1 Then show that the expression: (x+2)* +(x+5)* – x* +1760 Can be written in the above form and thus, deduct a factor of ttthe expression. Finally find a linear factor in x, y,z for: y* +z* -x* + (y+z– 2x)* – (y – x)* – (z– x)*
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