Given $$P(x) = x^4 + ax^3 + bx^2 + cx + d$$ such that $$x = 0$$ is the only real root of $$P'(x) = 0$$. If $$P(-1) < P(1)$$, then in the interval $$[-1, 1]$$

A

$$P(-1)$$ is the minimum and $$P(1)$$ is the maximum of $$P$$

B

$$P(-1)$$ is not minimum but $$P(1)$$ is the maximum of $$P$$

C

$$P(-1)$$ is the minimum and $$P(1)$$ is not the maximum of $$P$$

D

neither $$P(-1)$$ is the minimum nor $$P(1)$$ is the maximum of $$P$$