Philadelphia can claim home field throughout the playoffs if the St Louis Rams (12-3) come up short in Detroit on Sunday.
The Eagles left little doubt about their intentions, scoring on their first three possessions.
Pro Bowl passer Donovan McNabb, who threw for 242 yards and ran for 16 more, had a hand in all three TDs.
He found Chad Lewis from three yards to open the scoring midway through the first period.
The Eagles then drove a season-best 96 yards, with McNabb scoring on a keeper from a yard out.
After Washington quarterback Tim Hasselbeck, a former Eagle, fumbled deep in his own territory, McNabb hooked up with Freddie Mitchell from eight yards to turn the game into a rout.
He passed 11 yards to Correll Buckhalter for a fourth TD midway through the third period.
Washington's only TD came on Rock Cartwight's one-yard burst late in the first half.
The game was all-time sack leader Bruce Smith's final NFL appearance.
Despite being honored by the Redskins at halftime, the 40-year-old Smith failed to add to his 200 career sacks.
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