turkey-yks 2016 Q22

turkey-yks · Other · lys1-math Factor & Remainder Theorem Polynomial Construction from Root/Value Conditions
A third-degree polynomial $\mathrm { P } ( \mathrm { x } )$ with real coefficients and leading coefficient 1 satisfies the equalities
$$P ( 1 ) = P ( 3 ) = P ( 5 ) = 7$$
Accordingly, what is the value of $\mathbf { P } ( \mathbf { 0 } )$?
A) - 1
B) - 4
C) - 8
D) 4
E) 8 
A third-degree polynomial $\mathrm { P } ( \mathrm { x } )$ with real coefficients and leading coefficient 1 satisfies the equalities

$$P ( 1 ) = P ( 3 ) = P ( 5 ) = 7$$

Accordingly, what is the value of $\mathbf { P } ( \mathbf { 0 } )$?\\
A) - 1\\
B) - 4\\
C) - 8\\
D) 4\\
E) 8
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