does anyone know how I get political favour ? ,I unlocked the soldier outpost and i need 5 favour for it

You can get it from some missions you will be able to get a lot more later on in the game.

ah ok .do you know any missions i could get it from?

No I don't remember what they are called but I'm sure someone else could help you with that.

one is called dangerous rescue its a low level mission 16 energy I unlocked it by completing a mission i cant remember name but am sure it took 6 energy

sorry I cant be more specific Ive been goin thru cleaing up all my low energy missions and wasn't paying attention to the name

Taken from my mission excel spreadsheet:
Attack on the Resistance: risk medium damage, Political Favor per mission, Blueprint: Anti-Resistance Base on completion (once)
Dangerous Rescue: risk mission failure, Political Favor (chance) per mission, 2 Political Favor on completion (ten times)
Priceless Transport: risk mission failure, 25 Political Favor on completion (seven times)

Taken from the Wiki

Frigate Rescue

Mission Briefing

One of our trade frigates is not responding. The trade federation is offering a reward for its discovery and return.
Becomes Available Upon: Rank 5
Un-gray Requirements: Scan 15
Per Round Requirements: Energy 4
Per Round Rewards: 10 XP
Per Completion Rewards: 2,000 credits
Per Round Risks: none

Mission Summary:

* Per 1 Round

Requirements: 4 energy
Rewards: 10 XP
XP Return Ratio: 2.5

* 5 Rounds/Completion

Requirements: 20 energy
Rewards: 50 XP, 2,000 credits

* 20 Completions/Finish

Requirements: 400 energy
Rewards: 1,000 XP, 40,000 credits

Previous Mission: none
Next Mission: Dangerous Rescue

After finishing this mission the next mission also gives you chance to get more favors

Supernova Potential

Mission Briefing

A red giant on the outskirts of this sector is near a densely populated planet. Preliminary data shows that it may be unstable. Travel there and gather data to determine if this is true.
Becomes Available Upon: Rank 20
Un-gray Requirements: Scan Power 50
Per Round Requirements: Energy 21
Per Round Rewards: 35 XP, 5,000 credits
Per Completion Rewards: none
Per Round Risks: Potential for solar flares (minor damage)

Mission Summary:

* Per 1 Round

Requirements: 21 energy
Rewards: 35 XP, 5,000 credits
XP Return Ratio: 1.67

* 30 Rounds/Completion

Requirements: 630 energy
Rewards: 1,050 XP, 150,000 credits

* 5 Completions/Finish

Requirements: 3,150 energy
Rewards: 5,250 XP, 750,000 credits

Previous Mission: none
Next Mission: Supernova Evacuation

ok thanks everyone lets hope I get some favour