A cubic polynomial P(x)P(x)P(x) satisfies P(0)=2,P(1)=4,P(2)=8,P(3)=16P(0)=2, P(1)=4, P(2)=8, P(3)=16P(0)=2,P(1)=4,P(2)=8,P(3)=16. Which of the following is true about P(x)P(x)P(x)?
The leading coefficient is 111
The polynomial is 2x+12^{x+1}2x+1
The degree of P(x)−2xP(x)-2^{x}P(x)−2x is 333
P(4)=32P(4)=32P(4)=32