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Polynomial Exploration Name________________ For each number, write the polynomial associated with it. Then write what it would be in each base. Then, note anything interesting about the graph, and any conjectures you have about why that might be. _____ _____ _____ _____ _____ _____ 43 220 1245 Polynomial Base-2 Base-4 Base-5 Base-8 Base-9 What do you notice? Why do you think that is?

Polynomial Exploration

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Page 1: Polynomial Exploration

Polynomial Exploration Name________________

For each number, write the polynomial associated with it. Then write what it would be in each base. Then, note anything interesting about the graph, and any conjectures you have about why that might be.

_____ _____ _____ _____ _____ _____

43 220 1245

Polynomial

Base-2

Base-4

Base-5

Base-8

Base-9

What do you notice?

Why do you think that

is?

Page 2: Polynomial Exploration

10110 223102

Polynomial

Base-2

Base-4

Base-5

Base-8

Base-9

What do you notice?

Why do you think that is?

1) Why are some of the graphs U-shaped and others not?

2) What determines how narrow or wide a graph is?