Polynomial Evaluation and Remainder Theorem

Consider the polynomial equation:

$$ f(x) = 2x^4 - 3x^3 + 5x^2 - 7x + 4 $$

Determine the value of $$ f(2) $$ and the remainder when $$ f(x) $$ is divided by $$ x - 2 $$. According to the Remainder Theorem, the remainder of the polynomial when divided by $$ x - c $$ is equal to $$ f(c) $$.