Question

List and describe three factors that influence solubility.

Would the answers be increased agitation, heating the solution, and increasing the surface area of the solute?

Answer 1

Here is a good site to read.
https://chem.libretexts.org/Core/Physical_and_Theoretical_Chemistry/Equilibria/Solubilty/Solubility_and_Factors_Affecting_Solubility

Agitation affects the RATE of solution but not the final amount that will dissolve. Likewise, the surface area affects the RATE of solution. Heating the solution is correct but it is better to say temperature affects the solubility since cooling also influences the solubility. Look at additional ones such as pressure, interaction betwen solute/solvent, common ion, etc.