What is the degree of the polynomial that generates the given points?

x: -6 -2 0 2 6
y: -726 -34 0 18 582

You would get a 5th degree polynomial because if you were to set the x coordinates as an equation and multiply them, you'd get: (x+6)(x+2)(x)(x-2)(x-6) The x's are opposite of the given coordinates because you would plug them in like this: x = 6 x-6 = 6-6 x-6 = 0

Answered by CamilleEaton210 | 2024-06-10

so y=mx^z
we know that z must be a large odd number and it goes through the origin

Answered by apologiabiology | 2024-06-10

The degree of the polynomial that generates the provided points is 4, as there are 5 points, allowing for a polynomial of degree at most n - 1. Thus, a polynomial of degree 4 can be fitted to these points. The polynomial expression will reflect the coefficients derived from the point relationships.
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Answered by CamilleEaton210 | 2024-12-26