SOLUTION: The polynomial {{{x^8 - 1}}} is factored as {{{x^8 - 1 = p_1(x) p_2(x) .... p_k(x)}}},where each factor {{{p_i(x)}}} is a non-constant polynomial with real coefficients. Find the

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The polynomial {{{x^8 - 1}}} is factored as {{{x^8 - 1 = p_1(x) p_2(x) .... p_k(x)}}},where each factor {{{p_i(x)}}} is a non-constant polynomial with real coefficients. Find the       Log On


   



Question 1157738: The polynomial x%5E8+-+1 is factored as
x%5E8+-+1+=+p_1%28x%29+p_2%28x%29+....+p_k%28x%29,where each factor p_i%28x%29 is a non-constant polynomial with real coefficients. Find the largest possible value of k.

Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13215) About Me  (Show Source):
You can put this solution on YOUR website!
(post corrected in later post)

Answer by ikleyn(52914) About Me  (Show Source):
You can put this solution on YOUR website!
.

After correction of the condition, the problem was solved under this link

https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.1157739.html

https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.1157739.html