JEE Math Practice Question

Given $$P\left( x \right) = {x^4} + a{x^3} + b{x^2} + cx + d$$ such that $$x=0$$ is the only real root of $$P'\,\left( x \right) = 0.$$ If $$P\left( { - 1} \right) < P\left( 1 \right),$$ then in the interval $$\left[ { - 1,1} \right]:$$

1. A.$$P(-1)$$ is not minimum but $$P(1)$$ is the maximum of $$P$$
2. B.$$P(-1)$$ is the minimum but $$P(1)$$ is not the maximum of $$P$$
3. C.Neither $$P(-1)$$ is the minimum nor $$P(1)$$ is the maximum of $$P$$
4. D.$$P(-1)$$ is the minimum and $$P(1)$$ is the maximum of $$P$$