According to the Talmud (Megillah 16a) Achashverosh’s eunuchs rushed Haman in a state of confusion.
The Torah Temimah explains that they rushed Haman against his will to indicate the king’s lack of respect for him.
The Maamar Mordechai quotes the Yalkut Shimoni that Esther sent these servants.
Alshich writes that, aside from most of the adviser’s dislike of Haman, everyone in the palace knew that Haman was on the outs with the king, effectively blacklisting him.
In one comment, the M’nos HaLevi writes that Haman was rushed in order to not have the chance to wash off his daughter’s excrement from his head.
In another comment, he writes that if the servants had not rushed, Haman would have hanged himself.
Similarly, the Vilna Gaon writes that Haman would have used his added time to take down the gallows. Since the gallows will be needed for him, the eunuchs were rushed.
Also, Dena Pishra writes that Haman would have run to his governor sons, and they would begin the rebellion they were planning. On that note, the M’nos HaLevi points out that an opinion in the Talmud (Pesachim 22b, Kiddushin 57a) interprets any appearance of the word es to include something to a given statement. Therefore, he interprets this verse’s containing an es in “es Haman” to include Haman’s sons.
The M’nos HaLevi also notes that the word “vayavhilu” (“and they rushed”) is written without a letter yud between the hey and lamed. The missing yud has a gematria of ten, implying Haman’s ten sons.
Perhaps the fact that the addition of the ten would make the gematria of vayavhilu (6+10+2+5+10+30+6=69) the same as hadas (“willow”) (5+4+60=69) fits well with the above-cited opinion from Yalkut Shimoni that it was Esther/Hadassah who sent these eunuchs.
The Maharal explains another reason for their rushing. The organic process of nature is slow. A seed placed in the ground does not turn into a plant immediately. Anything that comes directly from H-Shem is sudden, and without preparation. The Shelah quotes from the Talmud (Brachos 9b) that kings eat their main meals in the morning. These servants are therefore rushing Haman to get to Achashverosh’s meal on time. This is the reason for his Halachic position (Shulchan Aruch Orach Chaim 695:2, Mishnah Berurah ibid., sub-paragraph 9) that a Purim seudah should ideally be held in the morning hours.
R’ Moshe Rephael Luria quotes the Midrash (Bireishis Rabba 2:4) which discusses how the second verse in the Torah (Bireishis 1:2) alludes to all four exiles of the Jewish people. The Midrash parallels that verse’s use of the word vavohu (“emptiness”) with this verse’s use of the word vayavhilu.
Another Midrash (Eicha Rabba 2:11) writes that this verse is a fulfillment of the verse from the Song at the Sea (Shemos 15:15) “az nivhalu alufei Edom” (“then the princes of Edom will tremble”). After all, Haman – a descendant of Edom – is trembling and confused from being rushed. The trembling of our enemies will come with our sudden escape from their exile, bimheira biyameinu.
The Maharal notes that Haman’s advisers must have known that Mordechai was a Jew, as Haman, himself mentioned to them (Esther 5:13). After all, it was possible that Mordechai was brought into Persia with King Yechanya (Esther 2:6), but was not actually a Jew. Therefore, the Talmud (Megillah 16a) understands the advisers’ remarks as relating to Mordechai’s tribal lineage. In effect, they were saying that if he were from the tribe of Yehudah, Binyamin, Efrayim, or Menasheh, Haman could not expect to be successful against him. In Bireishis (49:8), Yaakov promised Yehudah that his descendants would conquer their enemies. In Tehillim (80:3), King David prays that H-Shem strengthen Efrayim, Binyamin, and Menasheh. As it happens, Mordechai could trace his paternal lineage to one of these listed tribes and his maternal lineage to another.
The Maharal points out that Yehudah, Efrayim and Binyamin all represent Jewish unity because the Beis HaMikdash, and the Mishkan in Shilo and Nov were all located in their tribal inheritance. As proof, the Maharal quotes from the verse (Bamidbar 16:6) in which Moshe attempts to quell the rebellion of Korach and his group by saying they should all bring fire-pans. The entire group bringing individual fire-pans would represent the very opposite of unity. In fact, the unity of Jews’ uniqueness with H-Shem’s Uniqueness fights off the doubts and confusion that Amalek represents. The Midrash (Esther Rabbah 6:2) considers the description “Yehudi” as being derived from the adjective “yechidi” (“unique”) or the noun echad, (“one”).
According to the Targum, the advisers were not asking if Mordechai was a Jew, but if he were from the holier, saintly Jews. The Vilna Gaon writes that, unlike Haman’s assertion that the events he described were chance, Zeresh and the advisers were saying that it was not. After all, as a member of the Yehudim, Mordechai enjoyed the situation promised by the Talmud (Shabbos 156a, Nedarim 32a) that “ein mazal b’Yisroel” (“there is not mazal for Israel”).
R’ Dovid Feinstein explains that the advisers were focusing on the fact that Haman’s situation could go either way, based on Jews’ behavior.
The Ginzei HaMelech quotes R’ Meir Shapiro, who focused on the word, “zerah” (“seed”). They were saying that if the Jewish youth had no serious connection to Mordechai. They considered the aged Mordechai only powerful if he still held relevant sway on the youth of his people. So when Haman told them that Mordechai was surrounded by thousands of students learning a (temporarily) outmoded law regarding grains and Temple service, the advisers realized Haman has no chance. When Judaism is relevant for the invigorated youth, our enemies stand no chance.
Similarly, says the Ginzei HaMelech, Mordechai has to be mizerah (“from the seed”) of Yehudim – an invigorated member of the youth in vitality – and then Haman should just give up.
According to the Ben Ish Chai, Haman gave a short history lesson saying Mordechai was a descendant of Shaul, who only ruled briefly and not successfully. In response, the advisers said, that may be true, but Mordechai was also a descendant of Yehudah from his mother’s side, so he will win as promised. Homiletically, he reads the word im (if) as eim (mother).