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Question

Difficulty Level:

Medium

MCQ

$f(x)=x^{2}(x+2)(x-2)(x-5)$ has zeros at $x=-2, x=0, x=2, x=5$ . What is the sign of ${f}$ on the interval $-2< x < 5$ ?

Select all that apply :

$f$ is sometimes positive sometime negative on the interval

$f$ is always positive

$f$ is always negative

$f$ is equal to zero

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