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Normal Questing
Quests that will increase your reputation with the Wyrmrest Accord are available in the Borean Tundra and Dragonblight zones in the Northrend continent. In Borean Tundra, the first quest that grants reputation is "Basic Training," given by Raelorasz in the Coldarra area. In Dragonblight, the first quest that grants reputation is "Gaining an Audience," given by a faction-specific quest giver located in Agmar's Hammer for Horde and Stars' Rest for Alliance; you will have to complete a short series of quests in the same locations before this quest is available to you. You may already have completed some or all of these quests while leveling; if you are not sure where you left off, consult a list of quests on Wowhead, Wowpedia or similar websites and check each quest giver in turn.
Daily Quests
There are three daily quests that grant reputation with the Wyrmrest Accord; each of these quests can be repeated once per day. The quests are "Aces High!" and "Drake Hunt," in the Borean Tundra zone, and "Defending Wyrmrest Temple," in the Dragonblight zone.
Running Dungeons
Once you reach a reputation level of friendly, you can purchase a Wyrmrest Accord tabard from the quartermaster located on the top level of Wyrmrest Temple, in the Dragonblight zone. Killing enemies within level 80 dungeons while wearing this tabard will grant you Wyrmrest Accord reputation. Level 80 dungeons are Oculus, Utgarde Pinnacle, Culling of Stratholme, Trial of the Champion and Halls of Lightning, as well as all heroic difficulty dungeons added in the "Wrath of the Lich King" expansion.
Purchasing Reputation
You can purchase Wyrmrest Commendation Badges from vendors in the city of Dalaran. Each badge costs 16 justice points and will increase your reputation with the Wyrmrest Accord by 520 when used. If you have justice points to spare, purchasing commendation badges is the fastest way to reach exalted reputation with this faction. You will need to purchase 81 badges to reach exalted if you have never encountered the faction before; they will cost you a total of 1296 justice points.
Increasing Reputation Gains
If your character belongs to the human race, all your reputation gains will be increased by 10 percent due to the "Diplomacy" racial trait. Additionally, if you are in a guild of at least level 4, the "Mr. Popularity" guild perk will increase your reputation gains by a further 5 percent; the second rank of this perk, available in guilds that are level 12 or above, adds an extra 5 percent. The maximum possible increase to your reputation gains is therefore 10 percent if you are in a level 12 or above guild, 20 percent if your character is a human.