Question

how would i do this?

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

(x-4)(x+i1)(x-i)
is 2)

Answer 2

im so confused

Answer 3

how did you do that?

Answer 4

coefficient of 1= ( x+- )
given zeros = +- i
2) i, 4
(x-4)(x+i)(x-i)

Answer 5

im still a little confused how would i do it when their is 3 numbers and 2 are negative