HAMPTON, Va. (WVEC) -- A new poll out from Hampton University shows Democrat Hillary Clinton opening up a double digit lead in Virginia over Republican Donald Trump.

The poll, taken after the candidates' first debate, shows Clinton with 46 percent over Trump's 34 percent. Twenty percent were either undecided or refused to answer.

Participants were also asked who "won" the September 26 debate, with 60 percent of participants saying Clinton won, compared to only 18 percent who said Trump won. Eighteen percent also said neither won, while four percent did not know or refused to answer.

Unfavorables remain high for both candidates, with Trump having 38 percent of respondents say they had a "very unfavorable" opinion of the Republican candidate. Clinton only did a little better, with 32 percent saying they had a"very unfavorable" opinion.

Clinton's standing with Virginia voters has been improving steadily, compared to previous polls from Hampton U. Back in July, the two candidates were virtually neck-and-neck, with Trump leading at 39.2 percent versus Clinton at 38.8 percent. Then a new poll on September 1st had Clinton with a small lead of 43 percent to 41 percent.

The poll was conducted by the Hampton University Center for Public Policy (CPP) from September 28-October 2, 2016 and included 800 registered voters who said they were “likely” to vote on November 8, 2016 in the Virginia General Election.

The margin of error for the survey is +/- 4.37% for the full sample.