Please help me with my nermerical methods class. I can't figure out how to code this example for the life of me$.$

Provide an algorithm for implementing the method of false position that ensures an absolute error less than a given epsilon $()$ which employs the error estimate:

$|p_n-p|$~~$|\frac{}{-1}||p_n-p_{n-1}|$ with $$~~$\frac{p_n-p_{n-1}}{p_{n-1}-p_{n-2}}.$