Question

3.
show
that
(x-1) is a
factor of x10 - 1​

Answer 1

Step-by-step explanation:

You can do it with either factor theorem or long division method.

the remainder must be 0.. Then only u can tell that (x-1) is a factor of x10-1.

Factor Theorem

p(x)=x10-1

since x-1 is a factor equate x with 0. You will get 1

p(1)=(1)10-1

p(1)=10-1

p(x)=9

Hence, (x-1) is not a factor of x10-1