Finding the zeros and intercepts---help / check answer?

Hi, again I am rusty at math (I haven't done it in two years). There are no solutions in my book for my homework, so could someone double check that I have the right idea?

1) Find the zeros of the given function f.

So, are the zeros x=2, x=-1, and x=0?

One more...

2) Find the x- and y-intercepts, if any, of the graph of the given function f. Do not graph.

For the X-intercepts I got...

(-7/2,0), (-3,0), (0,0)

How do I find the y-intercepts then? Do I plug in zero for "x"? If I do, wouldn't the y-intercept be just (0,0)?

Thank you so much in advanced!