Factor each polynomial:

1. np + 2n + 8p
2. xy - 7x + 7y - 49
3. 3bc - 2b - 10 +15c
4. 9fg - 45f - 7g + 35
5. 3km - 21k +2m - 14
6. 4cd^2 + 3cd - 20d - 15
7. 10p^3 q - 5p^4 - 6q^2
8. 5ab - b - 6 + 30a

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.