Mt 10:34 Think not that I am come to send peace on earth: I came not to send peace, but a sword.
Jesus came to this earth to accomplish the work of Christ and to make people believe in this fact and be saved. (Jn 20:31)
Jn 20:31 But these are written, that ye might believe that Jesus is the Christ, the Son of God; and that believing ye might have life through his name.
The meaning of Christ is the anointed one. The word Christ means King, Prophet, and Priest. Jesus came to this earth to fulfill the work of the true King, the true Prophet, and the true Priest.
When Jesus died on the cross, He accomplished the work of the true King by crushing Satan's head. (1 Jn 3:8, Gen 3:15)
1 Jn 3:8 He that committeth sin is of the devil; for the devil sinneth from the beginning. For this purpose the Son of God was manifested, that he might destroy the works of the devil.
Gen 3:15 And I will put enmity between thee and the woman, and between thy seed and her seed; it shall bruise thy head, and thou shalt bruise his heel.
Jesus fulfilled the work of the true Priest by dying on the cross for us. (Mk 10:45)
Mk 10:45 For even the Son of man came not to be ministered unto, but to minister, and to give his life a ransom for many.
By dying on the cross, Jesus fulfilled the work of the true Prophet who opened the way to meet God. (Jn 14:6)
Jn 14:6 Jesus saith unto him, I am the way, the truth, and the life: no man cometh unto the Father, but by me.
Jesus accomplished the work of Christ on the cross. (Jn 19:30)
Jn 19:30 When Jesus therefore had received the vinegar, he said, It is finished: and he bowed his head, and gave up the ghost.