Due to rapid employee turnover in the accounting department, the following transactions involving intangible assets were improperly recorded by novak corporation.

$1.$ Novak developed a new manufacturing process, incurring research and development cost of $197,800.$ the company also purchased a patent for $45400.$ in early january, Novak capitalized $243200$ as the cost of the patents. Patent amortization expense of $12160$ was recorded based on a $20-$year useful life. $2.$ on july $1,2025,$ Novak purchased a small company and as a result recorded goodwill of $68000.$ novak recorded a half$-$year's amortization in $2025,$ based on a $20-$year life $(1700$ amortization$).$ the goodwill has an indefinite life.

Prepare all journal entries necessary to correct any errors made during $2025$