He believed that by paying Mexico's debt to America would let him have the settlements that he wanted to get the Rio Grande, pay the debt settlement of Mexico in exchange for his conditions, and by California and Mexico as well. Polk thought that since there is a tension between America and Mexico it was best to get in and open some agreements.
A. Written is the definition of incredible. Hope this helps you out I know this for a fact only because I just had this same question a couple of days ago and got it correct with the answer A.