polynomial bday project please help me

Question

The Birthday Polynomial Project

Task: To create, characterize, graph, and present a polynomial function that reflects you.

Process:

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. April 22 2006

.(The most number of digits you could have is 8, and the least number of digits you could have is 6).

2. Create a polynomial using your digits in order.

3. 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! Find a polynomial

having a graph that expresses you.

4. Analyze your polynomial by finding these characteristics:

 Domain and range

 The y-intercept

 All real and complex zeros

 Minimums and maximums

 A description of the end behavior

Product:

5. Make a presentation using technology (PowerPoint, Keynote, Desmos, etc.) of your polynomial.

 Be creative, colorful, neat, and accurate

Answer 1

Your birthdate is 4222006. One possible polynomial would be:

4x⁷ + 2x⁶+ 2x⁵ + 2x⁴ + 0x³ + 0x² + 6x

which reduces to:

4x⁷ + 2x⁶ + 2x⁵ + 2x⁴ + 6x

The rest you need to do on your own (it's really too large of a project to answer on this forum). You can graph the polynomial on a graphing calculator or on desmos.com or geogebra.com. Try changing the signs of some of the terms to change the shape of the graph.