SAT Math Practice Question #26749 - SATify | SATify

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SAT Math Practice Question #26749 - SATify | SATify

#26749

algebra

polynomials

complex numbers

Relative Motion

hard

120 sec

For a certain complex number $c$ , the polynomial $P (x) = (x^{2} - 2 x + 2) (x^{2} - c x + 6) (x^{2} - 6 x + 18)$ has exactly $4$ distinct roots. What is $∣ c ∣$ ?

A.

$22$

B.

$3$

C.

$23$

D.

$25$

E.

$5$