Chapter 10 discusses the importance of faith in Jesus Christ for salvation, contrasting it with seeking righteousness through strict adherence to the law. It explains that while the Israelites had zeal for God, it was often lacking knowledge of God's true righteousness. The passage highlights that salvation is available to everyone, both Jews and Gentiles, who profess faith in Jesus and believe in his resurrection. It also touches on the necessity of hearing the message of Christ and the role of those who preach it in spreading the good news, while also noting the failure of some to accept this message.