Federal prosecutors are polling Boston Marathon bombing victims on whether to seek the death penalty against surviving suspect Dzhokhar Tsarnaev, posing the difficult and deeply personal question in a lengthy survey being distributed this week, the Herald has learned.

“I want to read the survey and I definitely want the death penalty considered,” said Liz Norden, whose sons, Paul and J.P., each lost their right legs. “After yesterday, that’s my opinion. (Tsarnaev) showed no remorse. He smirked at the crowd. He doesn’t care what he did. He killed a lot of people and caused a lot of heartache for a lot of people in Boston. Why waste the time and let him rot in prison? Yes, I’m going to say I’m for the death penalty.”

The death penalty question is among 20 in the survey, which also asks victims where they were when the bombs exploded, the extent of their injuries, treatment and lasting effects, and whether they are willing to testify at Tsarnaev’s trial.

“As you may know, this case may involve the death penalty for the defendant Tsarnaev,” the question reads. “Please indicate below as to whether you would be willing to share your thoughts on the death penalty with the prosecution team.”

The questionnaire is part of prosecutors’ efforts to work with the large number of victims and their families. Four were killed and more than 260 injured in the Boylston Street bombings and ensuing mayhem. Prosecutors have invited victims and their relatives to face-to-face meetings later this month and in August.

Their responses will also sway U.S. Attorney Carmen M. Ortiz’s recommendation to Attorney General Eric Holder on whether to push for the death penalty.

Holder’s changes to the death-penalty protocol, introduced two years ago, state that “unless extenuating circumstances exist, the United States Attorney or Assistant Attorney General should consult with the family of the victim, if reasonably available, concerning the decision on whether to seek the death penalty,” and that prosecutors “should include the views of the victim’s family concerning the death penalty in any submission made to the department.”

“None of the questions are designed or intended to pry or to make you feel uncomfortable,” the survey cover letter says. “If there are questions which you do not want to answer, feel free to skip them.”

Ortiz declined to comment through her spokeswoman, who said the office’s interaction with victims is confidential.

Lillian Campbell, whose granddaughter Krystle was among the three killed in the April 15 Boylston Street bombings, said she wants a stiff sentence for Tsarnaev — but doesn’t want him executed.

“All I want is justice. … He murdered my granddaughter, that’s how I feel,” she said. “ I wouldn’t wish anybody dead, that’s for sure. It’s not going to bring my granddaughter back. But he should be punished.”