How do you conjugate tear in french?

Your question is so vague and lacking context that you will probably not have the answer you want.

"tear" has different significations in English.

Since you are asking for a conjugation, you are talking about a verb :

- When "to tear" means "to rip", you can translate it to "déchirer". However, the context may make you use an other word like "déchiqueter" or "tailler" or "mettre en pièces", etc...

- When "to tear" means "to shed a tear", you can translate it to "pleurer" or "larmoyer" depending on the context.

They are all first group verbs so they have the same conjugations.

Now, you are asking how to conjugate. This is very very vague because conjugating is adapting the form of a verb to the tense, the mood and the subject (and also sometimes the object) of the verb.

In the French language, there are 4 moods for a total of 16 tenses, which with 6 possible subjects, makes a total of a little less than 100 possible endings for a verb (actually a little more if you count the past and present participles)

If you give a context to know what meaning of "tear" you want and what mood and tense you want, you can have the answer youw ant.