Final answer:
Gary should likely file as a Qualifying Widow/Widower, which offers the same tax brackets as 'married filing jointly,' if he hasn't remarried and has a dependent child, for two years following the spouse's death.
Step-by-step explanation:
The tax filing status that best fits Gary's situation after his wife died last year is Qualifying Widow/Widower, if he meets certain conditions. For two years following the year of the spouse's death, the surviving spouse can file as a qualifying widow/widower, which allows him to use the married filing jointly tax rates and highest standard deduction amount, provided he has a dependent child and has not remarried. This status is intended to ease the tax burden on the surviving spouse who is taking care of children. If he does not qualify for this status, he would file as single. It's important for Gary to review IRS guidelines or consult a tax professional to ensure he selects the correct status.
Qualifying widow/widower status allows the surviving spouse to use the same tax rates and brackets as married filing jointly for an additional two years after the year of the spouse's death. This status generally provides more favorable tax treatment compared to filing as single or married filing separately.
By filing as a qualifying widow/widower, Gary can potentially benefit from lower tax rates and claim deductions and credits that are more favorable for his situation as a single parent raising his children.