SAT Math Practice Question #26748 - SATify | SATify

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SAT Math Practice Question #26748 - SATify | SATify

#26748

algebra

polynomials

complex numbers

Relative Motion

hard

120 sec

For a certain complex number $c$ , the polynomial $P (x) = (x^{2} - 2 x + 5) (x^{2} - c x + 5) (x^{2} - 6 x + 13)$ has exactly $4$ distinct roots. What is $∣ c ∣$ ?

A.

$2$

B.

$5$

C.

$6$

D.

$3$

E.

$22$