Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. 2, 3, 5√

Answer 1

if you mean 2, 3, sqr5

then factors are x-2, x-3, and x^2-5

multiply them together

(x-2)(x-3)(x^2-5)

=(x^2-5x+6)(x^2-5)

= x^4 -5x^3 +x^2 +25x -30 is the least degree polynomial with the given zeros and leading coefficient = 1