Question

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



1) -2, -1, 1

2) i, 4

3) i, 2 - √3

4) 1, 4, 1 + √2

Answer 1

2)x^3-4x^2+x-4

Answer 2

1) x^3+2x^2-x-2

Answer 3

every irrational root has its conjugate as another root. Similarly, an imaginary root has its conjugate as another root...

hope this helps...