Support for the Affordable Care Act has dropped five percentage points in a month to a record low, according to a CNN/ORC poll released Monday.

The poll finds that just 35 percent of the public supports the law, compared to 40 percent in late November.

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The drop in support indicated in the poll could be particularly troubling to the Obama administration because almost all of it came from women, whose opposition rose from 54 percent to 60 percent in a month. The administration has tried to highlight advantages for women, such as free preventative care that covers mammograms.

Some of those who oppose the law, 15 percent of all respondents, continue to do so because they think it is not liberal enough. That means half of the public either supports the law or thinks it is not liberal enough.

Just 16 percent said they think their family will be better off when most of the law takes effect next year, a number essentially unchanged from earlier in the year.

Some Republicans have targeted the pledge to be able to keep one's doctor as the next assurance to be proven wrong. Still, 61 percent said they believed they could keep the same doctor.

The story is different when it comes to cost though, with 63 percent saying they believe their healthcare costs will rise under the law.