Homework SourseUse the method of undetermined coefficients to prove that th
Use the method of undetermined coefficients to prove that the polynomial x4 + x + 1 is irreducible in Z[x].
Solution
Solution : We show that x 4 + x + 1 can not be factorized over Z. First we note that there can be no linear factor : a linear factor for x 4 + x + 1 would necessarily be of the form
![Use the method of undetermined coefficients to prove that the polynomial x4 + x + 1 is irreducible in Z[x].SolutionSolution : We show that x 4 + x + 1 can not b](/WebImages/29/use-the-method-of-undetermined-coefficients-to-prove-that-th-1080240-1761567162-0.webp "Use the method of undetermined coefficients to prove that the polynomial x4 + x + 1 is irreducible in Z[x].SolutionSolution : We show that x 4 + x + 1 can not b")
