The latest Quinnipiac University poll shows that Donald Trump and Hillary Clinton could win their primaries, but a general election would prove a tougher slog.

Donald Trump received 20 percent support from polled Republicans, but 30 percent of Republicans said they would “definitely not” support him, according to the July 23-28 poll. Scott Walker finished second with 13 percent, and Jeb Bush took third with 10 percent.

"They love him and they hate him. Donald Trump triumphs on the stump so far, but do voters really want him? Maybe not so much," Tim Malloy, assistant director of the Quinnipiac University poll, said in a press release.

Hillary Clinton has lost some support among Democrats, but remains the frontrunner with a strong lead of 55 percent, while Bernie Sanders and Joe Biden trail at 17 percent and 13 percent, respectively. However, in a hypothetical Clinton vs. Bush campaign, she loses 41 percent to 42 percent, but beats Scott Walker 44 percent to 43 percent.

Clinton has her worst favorability score thus far with Quinnipiac, 40 percent to 51 percent negative. That could be from a successful Republican strategy of deriding her, or voter fatigue at seeing her as the frontrunner for months without a strong challenger.

Seventy-nine percent of Democrats viewed her as favorable, but only 5 percent of Republicans agreed. Fifty percent of Republicans viewed Trump favorably, but only 8 percent of Democrats agreed.

Joe Biden beats Bush, 43 percent to 42 percent and splits with Walker at 43 percent each. Clinton and Biden both beat Trump. Even Bernie Sanders could defeat Trump 45 percent to 37 percent --though he loses to Bush and Walker.

Issues that matter most to those polled include the economy and jobs at 37 percent, health care  at 13 percent, and terrorism  at 12 percent. Pull-up contests didn't receive any support, much to the presumed chagrin of the Rick Perry campaign.

The first GOP debate next week will give the candidates a chance to break out and gain recognition. When they start to snipe at one another and present concrete policy ideas, polls should give a better reflection of how the campaign will shape up.