But that support was tentative, with more than 4 in 10 (44 percent) also saying it's unlikely the agreement will keep Iran from seeking to build its own nuclear weapon. Just 11 percent think that outcome is extremely or very likely.
Mark Dabney, 54, of Cartersville, Ga., who describes himself as a political independent who supports the tea party movement, disapproves of Obama's performance on both domestic and foreign policy fronts.
As for Iraq and Afghanistan, "I just believe that we shouldn't go meddling in other countries' internal affairs," he said.
The AP-GfK poll was conducted Dec. 5-9 using KnowledgePanel, GfK's probability-based online panel. For results based on all 1,367 adults, the margin of sampling error is plus or minus 3.5 percentage points.
KnowledgePanel is designed to be representative of the U.S. population. Respondents were first selected randomly using phone or mail survey methods, and later, completed this survey online. People selected for KnowledgePanel who didn't otherwise have Internet access were provided with access at no cost.
Associated Press Director of Polling Jennifer Agiesta and AP News Survey Specialist Dennis Junius contributed to this report.