There are four main methods of transistor biasing: base resistor method, emitter bias method, biasing with collector feedback resistor, and voltage-divider bias method. The document then focuses on explaining the base resistor method and voltage-divider bias method in more detail. For the base resistor method, a resistor is used to provide base current, but it has poor stability. For the voltage-divider bias method, two resistors are used to provide stable biasing of the transistor by controlling the base-emitter voltage. This method is widely used due to its stability from the emitter resistor preventing changes in collector current.