Joshua wants to know if x−5 is a factor of the polynomial P(x)=x^3−5x^2−x+5. Joshua calculates P(5) and applies the Factor Theorem to conclude that x−5 is not a factor of P(x).
Is Josh's conclusion that x−5 is not a factor correct? Why or why not?
A. Yes, the remainder is −240, therefore x−5 is not a factor of P(x).
B. No, the remainder is −240, therefore x−5 is a factor of P(x).
C. Yes, the remainder is 0, therefore x−5 is not a factor of P(x).
D. No, the remainder is 0, therefore x−5 is a factor of P(x).
