The correct answer to this open question is the following.
You forgot to attach the options for this question. However, we can say the following.
The king and parliament refused to compromise or negotiate with the patriot leaders of the colonies because the British government thought that the colonies were disobeying the English crown, were out of line, and in an open rebellion against the king of England.
Furthermore, the English saw the American colonies as its property and felt that they had to be loyal to the king. But that was not the case. Colonists were angry and tired of the heavy taxation imposed by the British government such as the Navigation Acts, the Tea Act, or the Stamp Act. Colonists did not have any voice or representation in the English Parliament, to make things worse. That is why the colonies decided to start the Revolutionary War of Independence.