P(x) is a polynomial of degree 4, and P(x+2)−P(x)=x3+3x2+x+1, What is the value of P(6), if P(2)=12?

P(x) is a polynomial of degree 4, and P(x+2)−P(x)=x3+3x2+x+1, What i

1.	P(x) is a polynomial of degree 4, and P(x+2)−P(x)=x3+3x2+x+1, What is the value of P(6), if P(2)=12?
Answer» P(x) is a polynomial of degree 4, and $P (x + 2) - P (x) = x^{3} + 3 x^{2} + x + 1$ , What is the value of P(6), if P(2)=12?