The negative form of い-Adjectives in Japanese is created by using the 連用形（れんようけい） form of the adjective, followed by ない. 連用形（れんようけい） form just means ‘agglutinative’, or ‘conjunctive’ in Japanese. For い-Adjectives, this conjunctive form is created by removing い, and replacing it with く.

• あなたは悪（わる）くない。
  You are not to blame. (Translates directly to, you are not bad.)
• 今日（きょう）は暑（あつ）くない。
  It is not hot today.

The ない used with い-Adjectives is considered to be a different word to the ない used with verbs. When used with い-Adjectives, ない itself is also an い-Adjective. This means that it follows the same rules as regular い-Adjectives. Due to ません (the polite negative form) being an auxiliary verb, it cannot be conjugated with い-Adjectives in the same way as verbs.

• このお茶（ちゃ）は、温（ぬる）くません。
  This tea don't lukewarm. (Incorrect example, with incorrect English to match!)
• このお茶（ちゃ）は、温（ぬる）くありません。
  This tea is not lukewarm. (Natural Japanese)

As can be seen here, you must first add the verb ある, and then conjugate it into it’s negative form using the auxiliary verb ません. This is how the polite negative is created.