Google Classroom
GeoGebraGeoGebra Classroom

IM Alg2.2.12 Practice: Polynomial Division (Part 1)

The polynomial function has a known factor of . Rewrite  as the product of linear factors.

Draw a rough sketch of the graph of the function.

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? 

The polynomial function  has known factors  and . Which expression represents  as the product of linear factors?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Each year a certain amount of money is deposited in an account which 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%.

State the degree and end behavior of .

Explain or show your reasoning.

Describe the end behavior of .

What are the points of intersection between the graphs of the functions  and ?