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(a) Find the values of a and b so that a + 3x +b is divisible by x2 (b) Use the Euclidean algorithm to find the greatest common divisor of two polynomials f(x) = x6 – 7x* + 8a3 – 7x + 7 and g(x) = 3x³ – 7x³+ 3.x2 – 7. %3D -

(a) Find the values of a and b so that a + 3x +b is divisible by x2 (b) Use the Euclidean algorithm to find the greatest common divisor of two polynomials f(x) = x6 – 7x* + 8a3 – 7x + 7 and g(x) = 3x³ – 7x³+ 3.x2 – 7. %3D -

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) Find the values of a and b so that x4 + 3x + b is divisible by x2 – ax – 1. (b) Use the Euclidean algorithm to find the greatest common divisor of two polynomials f (x) = x6 – 7x4 + 8x³ – 7x + 7 and g(x) = 3x – 7x³ + 3.x2 – 7.
Transcribed Image Text:(a) Find the values of a and b so that x4 + 3x + b is divisible by x2 – ax – 1. (b) Use the Euclidean algorithm to find the greatest common divisor of two polynomials f (x) = x6 – 7x4 + 8x³ – 7x + 7 and g(x) = 3x – 7x³ + 3.x2 – 7.
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