SAT Math Practice Question #25488 - SATify | SATify

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SAT Math Practice Question #25488 - SATify | SATify

#25488

algebra

polynomials

hard

120 sec

The polynomial $P (x) = x^{3} + a x^{2} + b x + c$ has the property that the mean of its zeros, the product of its zeros, and the sum of its coefficients are all equal. If $b = 14$ , what is $c$ ?

A.

$- 5$

B.

$- 3$

C.

$0$

D.

$3$

E.

$5$