The polynomial P(x)=x3−9x2+12x−17 can be rewritten as P(x)=(x−8)(x2−x+4)+15.
Is the binomial x−8 a factor of P(x)? Why or why not?
No, because there is a remainder of 0 when P(x) is divided by x−8.
Yes, because there is a remainder of 0 when P(x) is divided by x−8.
No, because there is a remainder of is x2−x+4 when P(x) is divided by x−8.
No, because there is a remainder of 15 when P(x) is divided by x−8.