SAT Math Practice Question #24837 - SATify | SATify

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SAT Math Practice Question #24837 - SATify | SATify

#24837

complex numbers

geometry

Relative Motion

hard

180 sec

Let $P (z) = z^{8} + 48 z^{4} - 1024$ . What is the minimum perimeter among all the $8$ -sided polygons in the complex plane whose vertices are precisely the zeros of $P (z)$ ?

A.

$82$

B.

$16$

C.

$123$

D.

$162$

E.

$24$