Question

Show that p – 1 is a factor of p10 + p8 + p6 – p4 – p2 – 1.

Answer 1

Answer:

see explanation

Step-by-step explanation:

If (p - 1) is a factor of f(p) then p(1) = 0

p(1) = $1^{10}$ + $1^{8}$ + $1^{6}$ - $1^{4}$ - 1² - 1 = 1 + 1 + 1 - 1 - 1 - 1 = 0

Then (p - 1) is a factor of the polynomial