A new poll out Wednesday finds President Trump Donald John TrumpFederal prosecutor speaks out, says Barr 'has brought shame' on Justice Dept. Former Pence aide: White House staffers discussed Trump refusing to leave office Progressive group buys domain name of Trump's No. 1 Supreme Court pick MORE trailing the top three Democratic White House hopefuls in North Carolina, which the president carried by nearly 4 points in 2016.

The new survey from left-leaning Public Policy Polling found former Vice President Joe Biden Joe BidenFormer Pence aide: White House staffers discussed Trump refusing to leave office Progressive group buys domain name of Trump's No. 1 Supreme Court pick Bloomberg rolls out M ad buy to boost Biden in Florida MORE with a 5-point lead, 51-46, over Trump. Sens. Elizabeth Warren Elizabeth WarrenOvernight Defense: Appeals court revives House lawsuit against military funding for border wall | Dems push for limits on transferring military gear to police | Lawmakers ask for IG probe into Pentagon's use of COVID-19 funds On The Money: Half of states deplete funds for Trump's 0 unemployment expansion | EU appealing ruling in Apple tax case | House Democrats include more aid for airlines in coronavirus package Warren, Khanna request IG investigation into Pentagon's use of coronavirus funds MORE (D-Mass.) and Bernie Sanders Bernie SandersSirota reacts to report of harassment, doxing by Harris supporters Republicans not immune to the malady that hobbled Democrats The Hill's Morning Report - Sponsored by Facebook - Republicans lawmakers rebuke Trump on election MORE (I-Vt.) each hold a 3-point lead over the president, which falls just inside the poll's margin of error.

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The survey found Trump tied with Sen. Kamala Harris Kamala HarrisTexas Democratic official urges Biden to visit state: 'I thought he had his own plane' The Hill's Campaign Report: Biden on Trump: 'He'll leave' l GOP laywers brush off Trump's election remarks l Obama's endorsements A game theorist's advice to President Trump on filling the Supreme Court seat MORE (D-Calif.) at 47 percent support each, and the president edging South Bend, Ind., Mayor Pete Buttigieg Pete ButtigiegBillionaire who donated to Trump in 2016 donates to Biden The Hill's Morning Report - Sponsored by Facebook - GOP closes ranks to fill SCOTUS vacancy by November Buttigieg stands in as Pence for Harris's debate practice MORE 47-46.

Republicans will hold their nominating convention in Charlotte next year. Former President Obama won the Tar Heel State in 2008, but the state has gone for the Republican presidential candidate in every other election since 1980, including for Mitt Romney Willard (Mitt) Mitt RomneyCrenshaw looms large as Democrats look to flip Texas House seat The Hill's Morning Report - Sponsored by Facebook - Republicans lawmakers rebuke Trump on election Trump dumbfounds GOP with latest unforced error MORE against Obama in 2012.

Trump’s job approval in the state is higher than it is nationally, at 46 percent approval, though 51 percent disapprove of the job he's doing. Voters in the state are split on impeachment in the survey, with 48 percent supporting the inquiry and 48 percent opposing.

In the state's Democratic primary, Biden holds a healthy lead with 39 percent support, followed by Warren at 22, Buttigieg at 9 and Sanders at 3.

North Carolina’s primary will take place on March 3, or Super Tuesday.

The Public Policy Polling survey of 963 voters in North Carolina was conducted from Oct. 4 to 6 and has a margin of error of plus or minus 3.2 percentage points.