Will Jeb Bush's handling of Iraq war questions hurt his chances?

Jeb Bush has spent the last week going back and forth on a question about the Iraq war, but on Thursday he sought to clear the air.

"I would not have gone into Iraq," he said.

The response comes after the former Florida governor had been asked Monday if - knowing what we know now - he would have invaded Iraq, as his brother did. He answered yes, which triggered wide criticism, forcing him to later say he had misunderstood the question.

CBS News political director John Dickerson says although Bush struggled to find his voice on a predictable question, it may not be a major factor in Bush's likely run for the Republican nomination for president.

CBS News political director John Dickerson CBS News

"The good news for Jeb Bush is that these kinds of things stick around when your opponents use them to keep hammering you, well, Republican opponents are not going to be talking about the Iraq War in their contests," said Dickerson.

Dickerson says Hillary Clinton is more exposed to criticism on the Iraq War than Jeb Bush is, because Clinton voted to authorize the war.

Watch the video above to hear Dickerson further explain what impact this will have on the 2016 campaign.