Question

Is `x-1` a factor of `P(x)=x^567-3x^400+x^9+2`?

Answer 1

`(x-1)` is not a factor of `P(x)`

Explanation:

If `x-1` were a factor of `P(x)` then `P(x)=(x-1)q(x)` and then

`P(1)=(1-1)q(1)=0` but as can be verified

`P(1)=1-3+1+2=1` so `(x-1)` is not a factor of `P(x)`