Tyler thinks he knows one of the linear factors of . After finding that , he suspects that is a factor of . Here is the diagram he made to check if he’s right, but he set it up incorrectly. What went wrong?
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Problem 3
Student Task Statement
The polynomial function has known factors and . Which expression represents as the product of linear factors?
Each year a certain amount of money is deposited in an account that pays an annual interest rate of so that at the end of each year the balance in the account is multiplied by a growth factor of . $1,000 is deposited at the start of the first year, an additional $300 is deposited at the start of the next year, and $500 at the start of the following year.
Write an expression for the value of the account at the end of three years in terms of the growth factor .
Determine (to the nearest cent) the amount in the account at the end of three years if the interest rate is 4%.
