with so many different forms of poetry to choose from,students may eventually want to write poem...

with so many different forms of poetry to choose from,students may eventually want to write poem...
with so many different forms of poetry to choose from,students may eventually want to write poems of their own.
这个句子中的to choose from担任什么成分
我觉得是定语,老师说是宾补,可是宾语和宾补应该是逻辑上的主谓关系,而且不定式做宾补要省略to阿,到底是什么?