turkey-yks 2014 Q21

turkey-yks · Other · lys1-math Tangents, normals and gradients Determine unknown parameters from tangent conditions
A third-degree polynomial $\mathbf { P } ( \mathbf { x } )$ with leading coefficient 1 and its derivative $P ^ { \prime } ( x )$ satisfy
$$P ( 0 ) = P ( 1 ) = P ^ { \prime } ( 1 ) = 0$$
Accordingly, what is the value of $P ( - 1 )$?
A) 3
B) 1
C) 0
D) - 2
E) - 4 
A third-degree polynomial $\mathbf { P } ( \mathbf { x } )$ with leading coefficient 1 and its derivative $P ^ { \prime } ( x )$ satisfy

$$P ( 0 ) = P ( 1 ) = P ^ { \prime } ( 1 ) = 0$$

Accordingly, what is the value of $P ( - 1 )$?\\
A) 3\\
B) 1\\
C) 0\\
D) - 2\\
E) - 4
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