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)

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

.

Since 2^{0} = 1

2^{2} = 4

2^{3} = 8

2^{4} = 16

2^{5} = 32

2^{6} = 64

I would expect that g(x) = 2^{x}.

If so, 2^{0} = 1