Abstract Algebra. The polynomial 2x^3 + 3x^2 − 7x − 5 can be factored into linear factors in Z11[x]. Find this factorization.  My answer is 2(x-3)(x-4)(x-8) in Z11[x]. Is my answer correct?

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
Section4.6: Multiplying Polynomials
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Abstract Algebra. The polynomial 2x^3 + 3x^2 − 7x − 5 can be factored into linear factors in Z11[x]. Find this factorization. 

My answer is 2(x-3)(x-4)(x-8) in Z11[x]. Is my answer correct?

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