HOUSTON (AP) - Chase Clement threw for 315 yards and four touchdowns, becoming Conference USA's all-time leader in total touchdowns and touchdown passes, in the Rice Owls' 35-10 win over the Marshall Thundering Heard on Saturday afternoon.

Clement, who also ran for a touchdown Saturday, surpassed former Tulsa player Paul Smith and now has 114 total touchdowns and 89 passing touchdowns.

The Owls (8-3, 6-1 in C-USA), who only scored seven points in the first half, improved to 5-0 at home and have won five straight games after losing three of four from Sept. 13 to Oct. 4.

Jarrett Dillard caught six passes for 88 yards and two touchdowns.

Corbin Smiter and Toren Dixon also caught touchdown passes for Rice, and C.J. Ugokwe ran for 79 yards on 19 carries.

Darius Marshall led the Thundering Herd (4-7, 3-4) with 118 yards on the ground, and tight end Cody Slate scored the team's only touchdown in the second quarter. Marshall finished the game with 185 yards rushing, and quarterback Mark Cann completed just 13 of his 24 passes for 83 yards.

After Saturday's performance, Marshall now has 1,001 rushing yards this season.

Marshall had more time of possession in the game, but was just seven-for-17 on third down conversions in losing its third straight game.