Does this do what you want?
ReplaceAll[{0.710411+3.67653s+s^2,
1.42082+3.67653s+s^2,
2.13123+3.67653s+s^2,
2.84164+3.67653s+s^2,
3.55206+3.67653s+s^2,
4.26247+3.67653s+s^2,
4.97288+3.67653s+s^2,
5.68329+3.67653s+s^2,
6.3937+3.67653s+s^2,
7.10411+3.67653s+s^2,
7.81452+3.67653s+s^2,
8.52493+3.67653s+s^2,
9.23535+3.67653s+s^2,
9.94576+3.67653s+s^2,
10.6562+3.67653s+s^2,
11.3666+3.67653s+s^2,
12.077+3.67653s+s^2,
12.7874+3.67653s+s^2,
13.4978+3.67653s+s^2,
14.2082+3.67653s+s^2},p_+q_*s+s^2->{p,q,1}]
which returns
{{0.710411,3.67653,1},{1.42082,3.67653,1},{2.13123,3.67653,1},{2.84164,3.67653,1},
{3.55206,3.67653,1},{4.26247,3.67653,1},{4.97288,3.67653,1},{5.68329,3.67653,1},
{6.3937,3.67653,1},{7.10411,3.67653,1},{7.81452,3.67653,1},{8.52493,3.67653,1},
{9.23535,3.67653,1},{9.94576,3.67653,1},{10.6562,3.67653,1},{11.3666,3.67653,1},
{12.077,3.67653,1},{12.7874,3.67653,1},{13.4978,3.67653,1},{14.2082,3.67653,1}}
or
{0.710411+3.67653s+s^2,
1.42082+3.67653s+s^2,
2.13123+3.67653s+s^2,
2.84164+3.67653s+s^2,
3.55206+3.67653s+s^2,
4.26247+3.67653s+s^2,
4.97288+3.67653s+s^2,
5.68329+3.67653s+s^2,
6.3937+3.67653s+s^2,
7.10411+3.67653s+s^2,
7.81452+3.67653s+s^2,
8.52493+3.67653s+s^2,
9.23535+3.67653s+s^2,
9.94576+3.67653s+s^2,
10.6562+3.67653s+s^2,
11.3666+3.67653s+s^2,
12.077+3.67653s+s^2,
12.7874+3.67653s+s^2,
13.4978+3.67653s+s^2,
14.2082+3.67653s+s^2}/.p_+q_*s+s^2->{p,q,1}
which returns
{{0.710411,3.67653,1},{1.42082,3.67653,1},{2.13123,3.67653,1},{2.84164,3.67653,1},
{3.55206,3.67653,1},{4.26247,3.67653,1},{4.97288,3.67653,1},{5.68329,3.67653,1},
{6.3937,3.67653,1},{7.10411,3.67653,1},{7.81452,3.67653,1},{8.52493,3.67653,1},
{9.23535,3.67653,1},{9.94576,3.67653,1},{10.6562,3.67653,1},{11.3666,3.67653,1},
{12.077,3.67653,1},{12.7874,3.67653,1},{13.4978,3.67653,1},{14.2082,3.67653,1}}