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Suppose g(x) is a polynomial of degree five for which g(1) = 2, g(2) = 4, g(3) = 8, g(4) = 16, g(5) = 32, and g(6) = 64. Find g(0)

 Apr 21, 2022
 #1
avatar+129852 
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Here's a similar problem......https://web2.0calc.com/questions/polynomials_15

 

This is possible to solve by hand  .....   but.....it's a lot of work  .....  I'd recommend  using some technology..as I did in the question cited

 

cool cool cool.

 Apr 21, 2022
 #2
avatar+23252 
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Since  20 = 1

           22 = 4

           23 = 8

           24 = 16

           25 = 32

           26 = 64

I would expect that  g(x) = 2x.

If so,  20 = 1

 Apr 21, 2022

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