2 fixed description

Is it possible to construct a polynomial of degree N, with all of them as integer coefficient have a root as the given value. The root value provided is not necessarily a rational number.

For example, if the root is 28.552622898861801 we can have a polynomial of degree 10 whose one root will be the given value.

10000 x^10 - 280000 x^9 - 150000 x^8 - 220000 x^7 - 40000 x^6 - 790000 x^5 - 160000 x^4 - 320000 x^3 - 270000 x^2 - 250000 x - 251271 = 0

Wolfram alpha link for this equation

1

Polynomial of degree N with integer coefficient for a given root.

Is it possible to construct a polynomial of degree N, with all of them as integer coefficient have a root as the given value. The root value provided is a rational number.

For example, if the root is 28.552622898861801 we can have a polynomial of degree 10 whose one root will be the given value.

10000 x^10 - 280000 x^9 - 150000 x^8 - 220000 x^7 - 40000 x^6 - 790000 x^5 - 160000 x^4 - 320000 x^3 - 270000 x^2 - 250000 x - 251271 = 0

Wolfram alpha link for this equation