Let F be a field and a(x), b(x) = F[x] not both zero. The greatest common divisor (gcd) of a(x) and b(r) is the monic polynomial of highest degree that divides both a(x) and b(x). Hence find the ged of 3x² + x + 6 and 0 in Q[x]
Let F be a field and a(x), b(x) = F[x] not both zero. The greatest common divisor (gcd) of a(x) and b(r) is the monic polynomial of highest degree that divides both a(x) and b(x). Hence find the ged of 3x² + x + 6 and 0 in Q[x]
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.4: Zeros Of A Polynomial
Problem 1E: 1. Find a monic polynomial of least degree over that has the given numbers as zeros, and a monic...
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