Meaning of 激 in Japanese

彼の考えは私には過激すぎます。
His ideas are too extreme for me.

その過激派が政府打倒の陰謀を企てているという噂が立ってる。
There is a rumor that the radicals are plotting against the government.

彼女はジョンの勇敢さに感服している。
She admires John for his courage.

その党は急激にのびた。
The party gained ground rapidly.

その会社は競争の激化のあおりを受けて、倒産した。
Having fallen victim to increased competition, the company went bankrupt.

先進国では虫歯が激減し、自分の歯で一生食べられる人が増えています。
Cavities have become rarer in the developed countries and more people will be able to eat with their own teeth throughout their life.

彼の勇気には激賞に値する。
His courage is worthy of high praise.

我々は激情を抑えねばならない。
We must control our passions.

ここで激戦が行われた。
A fierce battle was fought here.