How did sam houston persuade the united states to annex texas?

The politics of the Texan republic revolved largely around Houston. Texans elected him to nonconsecutive presidential terms (1836-1838, 1841-1844). In the interim he served in the legislature. As president, Houston avoided open warfare with Mexico, despite provocations on both sides, and reduced governmental expenditures. He halted warfare upon Indians. The degree to which Houston shared many Texans’ enthusiasm for American statehood is unclear. After the United States spurned annexation in 1837, Houston courted England and France, hoping either that American anxieties over European encroachment would encourage annexation or that Europe would guarantee Texas independence. The Tyler administration finally moved to annex Texas during Houston’s second term.

Ithink the answer is b.)