Learn Polish: Bez finansowania zrezygnowalibyśmy z obu projektów. - Without funding, we would have given up on both projects.

A prepositional phrase with bez (without) plus the Genitive case is often used as a shortcut for a full negative conditional clause. Instead of saying the longer Gdybyśmy nie mieli finansowania... (If we didn't have funding...), you can just use bez finansowania. The conditional verb zrezygnowalibyśmy in the main clause makes the if-then logic clear.

The translation says 'would have given up'. Why doesn't the Polish verb have a past tense marker?

Modern Polish doesn't have a commonly used past conditional form. The standard conditional form zrezygnowalibyśmy translates to either 'we would give up' (present/future) or 'we would have given up' (past). You have to rely entirely on context to know which timeframe applies.

Why does the preposition z take the Genitive case in z obu projektów? Doesn't it usually take the Instrumental?

When z means 'with', it takes the Instrumental case. However, here it belongs to the verb zrezygnować (to resign / to give up), which strictly requires z plus the Genitive case. In this context, z acts more like 'from' — literally, 'we would resign from both projects'.

Why is the word for 'both' written as obu?