England must press home their advantage and try to enforce the follow-on if they are to earn victory over New Zealand in the second Test, in Wellington, says Angus Fraser.
The tourists closed day two 399 runs ahead after making 465 all out in their first innings before restricting the Black Caps to 66-3 in 33 overs, Stuart Board striking twice.
Kevin Pietersen improved his overnight 18no to 73 from 149 balls but it was Matt Prior's 82 from 99 balls that gave England's innings some vital impetus as spinner Bruce Martin finished with 4-130.
"England will be disappointed to have lost their last eight wickets for under 200 runs," Fraser told Sky Sports HD. "I think we were expecting them to get 550 and really dominate proceedings with the bat.
"But they made up for that with the ball and on so many occasions a game is a better game when it follows a natural course rather than declarations coming into it.
"So England getting bowled out cheaply gave them the chance to get after New Zealand and the scoreboard looks good, but I think they could have bowled a bit better; two New Zealand batsmen played indifferent shots - Peter Fulton and Hamish Rutherford - while Ross Taylor fell to a very good ball.
"But England will be very satisfied with their evening's work, that's for sure and they will believe they've got a very good chance of enforcing the follow-on. New Zealand need another 200 runs or so to avoid doing so, so England will be hoping to strike early with the new ball on day three.
"New Zealand have got some reasonable players but the lower-order isn't something that is going to scare you."
Broad dismissed Rutherford (23) and Taylor in two balls after Jimmy Anderson had opener Fulton caught at slip for one.
But although New Zealand had to work hard for their runs, Sky Sports guest Steve Harmison felt that overall England bowled too short with the new ball.
"I don't mind people bowling short - I bowled a lot of short balls in my career - but I would rather see them direct the ball at the batsmen and hitting them," said the former England quick, who bagged 22 wickets in four Tests against New Zealand.
"You want to aim for the area between the breast and the ear - there are too many easy leaves and easy ducks.
"If you are going too short, you bowl aggressively and you bowl it at them. You put a man around the corner at leg slip. He's got to be in the game. England didn't give New Zealand enough of a hurry-up."
Earlier, wicket-keeper batsman Prior came to the wicket following the cheap dismissal of Joe Root (10) with England 325-5 and once again struck the ball crisply.
The number seven shared an eighth-wicket stand of 83 with Steven Finn, who followed up his stubborn first Test half-century with 24 from 61 balls, before he was ninth man out after striking an impressive 82 from 99 balls with 10 fours and two sixes.
Sky Sports pundit Michael Atherton said the innings reflected Prior's all-round positive and selfless approach to Test cricket.
"He was newly-elevated to the vice-captaincy for all the reasons we saw today," said Atherton. "He's a very experienced cricketer now in Test match terms.
"He's an extremely selfless cricketer. A lot of player will have been eyeing up three figures but he wanted to keep playing positively.
"I don't think he looks at personal milestones necessarily, so I think he's really highly-regarded in the England dressing room."