Question

How do you write a polynomial function of least degree with integral coefficients that has the given zeros 5/3, 1, -1?

Answer 1

`p(x) = 3x^3 -5x^2 - 3x + 5`

Explanation:

`(x - 5/3)(x - 1)(x + 1) = 0`

`(3x - 5)(x^2 - 1) = 0`

`3x^3 - 3x -5x^2 + 5 = 0`