Question

Show that p-1 is a factor of p^10 + p^8+ p ^6 - p^4 - p^2 -1

Answer 1

Explanation:

1¹⁰ + 1⁸ + 1⁶ - 1⁴ - 1² - 1 = 0.

Hence by Factor Theorem, (p - 1) is a factor of the polynomial.