Consider the polynomial function $P(x) = 4x^4 - 12x^3 + 9x^2 + 6x - 5$.
Using synthetic division, you find the remainder when $P(x)$ is divided by $x - 2$. Calculate this remainder and then use it to evaluate $P(2)$. Your answer will be expressed as a simplified fraction or a decimal, and enter it in the grid.