What EXACTLY does the "notarized agreement" say? Does the document say he can claim the child every-other year? If it has all of the information that Form 8332 has, that may be a valid document allowing the father to claim the child for those years.
<a rel="nofollow" target="_blank" href="
https://www.law.cornell.edu/cfr/text/26/1.152-4#e">https://www.law.cornell.edu/cfr/text/26/1.152-4#e...>
If you both claim the child, the IRS will send you both notices asking you to prove your claim.
