(adsbygoogle = window.adsbygoogle || []).push({}); How to show this is a homomorphism???

1. The problem statement, all variables and given/known data

Let θ: Z6→Z2 be given by θ(x)=the remainder of x when divided by 2 (as in the division algorithm)

2. Relevant equations

3. The attempt at a solution

I am stuck, this is all I have:

Let m,n be in Z6

θ(m +6 n)...

I'm not sure how to proceed. Any help is appreciated. Thanks

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# Homework Help: How to show this is a homomorphism?

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