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

first one (and all) write in factored form as
\[(x+2)(x+1)(x-1)\] and then multiply out

Answer 2

so its like 0+2 0+1 and 0-1

Answer 3

you are told what the zeros are
\(x\) doesn't equal anything
it i a variable
the variable in your polynomial