BROOKLINE, N.H. — Jeanne Cleveland, a retired teacher, pursed her lips sourly at the mention of his name and tried to summarize her distaste in diplomatic terms.

“I think he’s arrogant,” she said. “I think he’s rude. I think——”

She paused, reaching for the right words. “Let’s just say, I don’t like the way he represents us as a country.”

To avoid any confusion, Mrs. Cleveland put it plainly: “I don’t like Trump.”

In this, the 70-year-old from Hollis, N.H., has ample, baffled and agonized company in New Hampshire as the presidential primary enters its final, frenzied weeks, with Donald J. Trump remaining atop poll after poll of the state’s Republican electorate.

Or is he? So deep is the dislike for him in some quarters that people like Mrs. Cleveland’s husband, Doug, question the accuracy of polls that so consistently identify Mr. Trump as leading the field with around 32 percent. “I’ve never met a single one of them,” Mr. Cleveland said about those said to be backing Mr. Trump. “Where are all these Trump supporters? Everyone we know is supporting somebody else.”