Let f:R→Rf: \mathbb{R} \to \mathbb{R}f:R→R satisfy f(x)+f(x+2)=2x2+8x+10f(x) + f(x+2) = 2x^2 + 8x + 10f(x)+f(x+2)=2x2+8x+10. Find f(x)f(x)f(x) if f(x)f(x)f(x) is a quadratic polynomial of the form ax2+bx+cax^2 + bx + cax2+bx+c.
x2+2x+1x^2 + 2x + 1x2+2x+1
x2+4x+3x^2 + 4x + 3x2+4x+3
x2+2x+3x^2 + 2x + 3x2+2x+3
2x2+2x+12x^2 + 2x + 12x2+2x+1