LANDOVER, Md. — The St. Louis Rams battered quarterback Colt McCoy and dominated the host Washington Redskins in recording a second consecutive shutout victory, 24-0 on Sunday.

“What an effort by those guys,” said coach Jeff Fisher after his Rams held the Redskins to 206 total yards, sacked McCoy six times and improved to 6-7 after entering November at 2-5. “We’re built to rush.”

Indeed. The Rams recorded seven sacks while blanking Oakland 52-0 the previous week.

“When you get two shutouts (in a row for the first time in 69 years), our confidence is super-high,” said defensive tackle Michael Brockers. “This defense is coming together.”

St. Louis’ offense contributed touchdown passes of 1 and 35 yards from Shaun Hill to tight end Jared Cook, while the special teams provided a 78-yard punt return by Tavon Austin (203 combined yards) and a two-point pass from holder Johnny Hekker to Cory Harkey.

Robert Griffin III replaced McCoy for the final two minutes after the latter suffered a sprained neck on the sixth sack. McCoy was taken to a hospital for more testing after the game and didn’t speak to the media.

Griffin, benched by coach Jay Gruden before last week’s game at Indianapolis, completed three of four passes for 33 yards and took a sack. St. Louis, which acquired three first-round picks and a second-rounder from Washington for the right to choose Heisman Trophy winner Griffin second overall in 2012, last held back-to-back foes scoreless when the franchise was in Cleveland in 1945.

“I’ve got to look at the film and try to make a judgment on the quarterback situation,” said Gruden, whose 3-10 team has lost five straight heading into next week’s game at the New York Giants. “We’re all searching for answers. We’re trying to find out who can lead us to victories and who can get this offense on a roll. That obviously is still to be determined.”

Griffin was the NFL’s Offensive Rookie of the Year in 2012 when he set records for passer rating and rushing yards by a rookie quarterback, but he hasn’t finished and won a game in 13 months.

“My focus is to help this team win … I’m not going to undermine anybody else,” Griffin said.

Receiver Pierre Garcon, who set the franchise record with 113 catches in 2013, had caught just 10 passes during the previous four games, but he grabbed three on Washington’s first drive. However, after the Redskins moved to the Rams’ 35-yard line, St. Louis safety Rodney McLeod intercepted McCoy’s pass intended for rookie receiver Ryan Grant.

The Rams marched from their 17-yard line to the Washington 22 before consecutive 10-yard penalties ruined the series. When the visitors got the ball back, Hill connected with Cook for a 35-yard touchdown pass. Greg Zuerlein missed the extra point and the Rams led 6-0 at halftime.

Zuerlein, who had never missed a field goal attempt under 30 yards in his three seasons, compounded his missed extra point by sending a 28-yard field-goal try wide right after consecutive sacks by outside linebacker Ryan Kerrigan and defensive end Jason Hatcher kept the Rams out of the end zone. Zuerlein, who had made 17 of 21 field goal attempts coming into the game, was wide right yet again from 38 yards as the half ended.

What the Rams said:

“I’ll always be remembered (as part of) that blockbuster trade and the Rams won (it).” — DT Michael Brockers, one of six active players that St. Louis chose with draft picks acquired from Washington in the deal that allowed the Redskins to pick Heisman Trophy-winning quarterback Robert Griffin III second overall in 2012.

“Any time you have a day like this, it’s never easy to show your face around everyone. I’m probably the happiest guy that we won, especially by that margin. … Everyone had a great game, other than myself.” — K Greg Zuerlein, who was wide right on an extra-point try and field-goal attempts of 28 and 38 yards that limited the Rams to a 6-0 halftime lead.

What the Redskins said:

“As a coach, you don’t want to be wishy-washy. When a guy has a bad game, you just don’t want to take him out and throw him under (the bus). You like to see guys finish what they started and see if they can turn it around. Obviously that didn’t happen.” — Coach Jay Gruden on why he didn’t bench quarterback Colt McCoy with the Redskins trailing 24-0 late in the third quarter.

“We can definitely go lower.” — Running back Alfred Morris when asked if the reeling 3-10 Redskins have hit rock bottom.

What we learned about the Rams:

1. Their six sacks last week against the Raiders weren’t a fluke. They had seven against the Redskins, giving them 13 in two weeks after they had just 22 during the first 11 games.

2. Tavon Austin can be special. The receiver/return man, drafted in the first round in 2013, came in with 538 yards on 67 touches but produced 203 yards on 11 touches against the Redskins.

— Coach Jeff Fisher sent all six players who were acquired with the picks the Rams got from the Redskins in the 2012 blockbuster deal out for the coin toss. Fisher is tight with coach Mike Shanahan who engineered that deal and was fired by Redskins owner Dan Snyder after last season.

–QB Shaun Hill is leading a resurgence in St. Louis. Since he replaced Austin Davis as their starting quarterback, they are 3-1 since, smashing Denver, Oakland and Washington by a combined 98-7 and losing 27-24 at San Diego. They were 3-6 prior.

–The game was the eighth between the Rams and the Redskins in 10 years. The non-division rivals have played each season except 2007 and 2013 going back to 2005.

What we learned about the Redskins:

1. Their offense can be incompetent with all three quarterbacks. Having benched turnover-ridden Kirk Cousins (in Week 7) and the struggling Robert Griffin III (after Week 12), coach Jay Gruden got no points from Colt McCoy in his third start.

2. Alfred Morris can’t get any traction if the running threat of Robert Griffin III isn’t at quarterback. The 2013 Pro Bowl running back has averaged 5.5 yards per carry and 101 yards per game in Griffin’s four full starts, just 3.4 per carry and 55 yards in Washington’s other nine games.

–OLB Ryan Kerrigan’s two sacks gave him 11.5 for the season and moved him into sixth in Washington history with 36 for his career.

–The Redskins played without three starters who were injured against the Colts: WR DeSean Jackson (legs), LB Keenan Robinson (knee), who is the team’s leading tackler, and S Brandon Meriweather (toe). QB Colt McCoy (neck) and RB Roy Helu (toe) joined the injury list during the fourth quarter.

–WR Pierre Garcon continued a strong trend from the Redskins receivers. Garcon caught a game-leading nine catches for 95 yards.