Thanks bennyray1!
Could you upload an image with noise?
In x3 zoom mode, the image become more sensitive - for better or worse: if the "regular" image is noisy, the zoomed image will be have even more noise. if the regular is clean, the zoomed one will be even clearer.
Now, what cam make noise an image? Barring technical problem (Bad sensor or lens) noise almost always, comes for either poor lighting and/or high iso - and usually a combination of both. The 60D does not have a great low light performance to begin with, in regular h264 video: iso 1600 is acceptable, 3200 is borderline. In RAW, this is even more so.
So, how do you lower you noise?
1. use better lighting;
2. use a wider aperture;
3. lower you ISO;
4. Use some noise canceling in post, such as neat video.
5. Hide the noise with some filter - A film grain filter like Film Convert (which I almost always use) is a great option.
6. A combination of the above;
Also, use the ETTR function in ML: if, after you start ETTR (by pressing SET button usually) you get ISO higher than 1600, you better step backward and change something.
The above clip was shot in broad daylight, at iso 100, with an aperture of about f/8 (and using a fader ND to keep the aperture at 8, which is the optimum for my lens). so, no problem of noise here. I did use film convert - but only for the look, not for the noise.
here is an example of video with lots of noise:
As i mention in the description, I didn't use film convert or the like to cancel noise - which you can clearly see on many shots. Try to guess when the zoom function was used - I think the answer is quiet easy.