Write a polynomial function of least degree with integral coefficients that has the given zeros. 1/3, 2/5, 0

Answer 1

If x = 1/3 is a solution (meaning that if you plug in 1/3 to your equation, you get 0), then:

x = 1/3

3x = 1

3x - 1 = 0

So 3x-1 is a factor of your polynomial.

Similarly, 5x - 2 is a factor. As is x.

(3x-1)(5x-2)(x) = (15x^2 -5x -6x + 2)(x) = 15x^3 - 11 x^2 + 2 x