A scheme is proposed for generating a four-photon polarized Dicke state, Greenberger-Horne-Zeilinger state, and W-type state. The scheme only uses Kerr medium, polarization beam splitters, half wave plates and homodyne measurement on the coherent light field, which can be efficiently achieved in quantum optical laboratories. Strong probe mode interacts successively with multiple signal-mode photons, each causing a conditional phase rotation in the probe mode. Subsequent homodyne measurement of the probe mode will project the signal mode photons into the desired entangled polarization-photon state. In addition, in order to show the power of prepared entanglement as a resource, we further propose an experimental scheme for teleporting an entangled three-photon polarization state, based on cross-phase modulation.