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 $\left[ { - 1,1} \right]:$
$P(-1)$ is not minimum but $P(1)$ is the maximum of $P$
$P(-1)$ is the minimum but $P(1)$ is not the maximum of $P$
Neither $P(-1)$ is the minimum nor $P(1)$ is the maximum of $P$
$P(-1)$ is the minimum and $P(1)$ is the maximum of $P$
Solution
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