Question

Let a be a real number and n a positive integer . show that x-a is a factor of x^n- a^n

Answer 1

Answer:

steps below

Step-by-step explanation:

x-a=0

x=a   plug in xⁿ - aⁿ

xⁿ - aⁿ = aⁿ - aⁿ = 0

(x-a) must be a factor of xⁿ - aⁿ