8 For which values of mis x - 1 a factor of x³ + m²x² + 3mx + 1? (a) Show that n = 1 is a root of the p(n) = n³ − 8n² + 20n - 13. (b) Factor p(n). (c) For how many values of n is p(n) prime?
8 For which values of mis x - 1 a factor of x³ + m²x² + 3mx + 1? (a) Show that n = 1 is a root of the p(n) = n³ − 8n² + 20n - 13. (b) Factor p(n). (c) For how many values of n is p(n) prime?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:8 For which values of mis x - 1 a factor of x³ + m²x² + 3mx + 1?
(a) Show that n = 1 is a root of the p(n) = n³ − 8n² + 20n − 13.
(b) Factor p(n).
(c) For how many values of n is p(n) prime?
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