The polynomial P(x)=x^3−6x^2+6x−23 can be rewritten as P(x)=(x^2+6)(x−6)+13.

Question

Which expression is a factor of P(x)?

a. x^2+6

b. x−6

c. 13

d. none of these

please help

Answer 1

If x^2+6 would be a factor, there would be no remainder
if x-6 were a factor, there would be no remainder
clearly 13 cannot be a factor, that is just plain silly

so ....