What is the birthday polynomial project for 08/15/2004?

Step-by-step explanation:

1. Identify IN ORDER the digits of the month (1 or 2 digits), day (1 or 2 digits), and year (4 digits) of your birthday.

For example, if I was born on November 22, 1985, my ordered birthday digits would be “11221985.” (The most number of digits you could have is 8, and the least number of digits you could have is 3).

2. Create a polynomial using your digits in order.

Again, for example, my polynomial could be y = x7 + x6 + 2x5 + 2x4 + x3 + 9x2 + 8x + 5

3., graph your birthday polynomial. Experiment with the shape of your birthday polynomial by changing the signs of your various terms. Try to create a polynomial function with an interesting shape and some turning points. Be creative!

4. Analyze your polynomial by finding these characteristics:

·  List the y-intercept. (Can be found using desmos)

·  List all x-intercepts. (Can be found using desmos)

·  Describe the end behavior of your polynomial (as x, f(x)?, and as x-, f(x)?)).

·  Divide your polynomial by (x – 1) using synthetic division (show all work). Is (x – 1) a factor of your polynomial?

·  Evaluate your polynomial for x = -1 (Show all work).