The image you've uploaded shows a problem asking for the root of the equation $f(x) = 2x^3 + 2x^2 + x - 3$ to be found using the False Position (Regula Falsi) method, with initial guesses $x_1 = 0$ and $x_2 = 1$, and a stopping criterion of 1%.

This method works by iteratively finding a new approximation of the root using the formula: $x_p = x_2 - \frac{f(x_2)(x_2 - x_1)}{f(x_2) - f(x_1)}$ where $x_p$ is the new approximation, $x_1$ and $x_2$ are the current guesses, and $f(x_1)$ and $f(x_2)$ are the function values at those guesses.

To solve this:

1. Start with $x_1 = 0$ and $x_2 = 1$.
2. Calculate $f(x_1)$, $f(x_2)$, and use the False Position formula to find $x_p$.
3. Compute the error (relative error) $e_a$ and check the stopping criterion. Continue iterating until the error is less than 1%.

Let me guide you through the steps for the first iteration to help with completing the table. Would you like to continue with that?