that 2491 = 47.53. Consider the polynomial f = X² +3. Justify your answer for each part. (a) Determine whether or not the polynomial X² + 3 has a root in F47. (b) Determine whether or not the polynomial X² + 3 has a root in F53. (c) Determine whether or not the polynomial X² + 3 has a root in Z/2491Z.

that 2491 = 47.53. Consider the polynomial f = X² +3. Justify your answer for each part. (a) Determine whether or not the polynomial X² + 3 has a root in F47. (b) Determine whether or not the polynomial X² + 3 has a root in F53. (c) Determine whether or not the polynomial X² + 3 has a root in Z/2491Z.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter4: Polynomials

Section4.2: Adding And Subtracting Polynomials

Problem 7WE

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Find the quotient: (2x3+8x2+x8)(x+1) .
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