That page is correct. What the form is doing is calculating that the interest received by each child is not enough to have any taxable income, and therefore no additional tax, if they were each filing their own return. Since this is the case, you will not need the form on your own return. However, you may choose to keep the form on the return just so that the IRS does not later ask for your children to submit returns of their own, since technically they do have a filing requirement with unearned income of more than $1050 each.
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