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A paleobotanist uses radiometric dating on a bone fragment and finds that 12.5% of the original carbon-14 remains. With a half-life of 5730 years, how many years have passed?
A fossil layer is found between sediment layers dated at 14.2 million and 12.6 million years ago. If the fossil is midway in age, how old is it?
Solution: We perform polynomial division or use the identity:

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