please, solve all sections correctly and completely

On April 30, 2023, Pike Company paid $5,800,000 to acquire all of the common stock of Star Corporation, which became a division of Pike. Star reported the following balance sheet at the time of the acquisition: It was determined at the date of the purchase that the fair value of the identifiable net assets of Star was $4,200,000. At December 31, 2023. Pike reports the following balance sheet information: It is determined that the fair value of the Star division is $3,400,000. It is determined that the fair value of the Star division is $3,400,000. Required 1. Compute the amount of goodwill recognized, if any, on April 30,2023. 2. Determine the impairment loss, if any, to be recorded on December 31,2023 . If an impairment loss is not to be recorded, explain why. 3. Assume that the fair value of the Star division is $3,200,000 instead of 3,400,000. Prepare the joumal entry to record the impairment loss, if any, on December 31,2023, If an impairment loss is not to be recorded, explain why