About half of Americans disapprove of the way President Obama is handling foreign policy, a new high as he confronts a diplomatic opening with Iran and efforts to remove chemical arms in Syria, according to the latest New York Times/CBS News poll.

Forty-nine percent disapproved of Mr. Obama’s foreign policy efforts, up 10 points since early June, and 40 percent approved.

The president’s negative rating on foreign policy has grown among Americans of all political stripes, with disapproval up 8 points among Democrats, 10 points among Republicans and 13 points among independents.

The poll also found that 52 percent disapproved of the way Mr. Obama was handling the situation in Syria. On his handling of relations with Iran, 39 percent approved, while 44 percent disapproved.