Question

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 2, -3, -3i

Answer 1

start with
\[(x-2)(x+3)(x+3i)(x-3i)\] and multiply out
i would do \[(x+3i)(x-3i)=x^2+9\] first then multiply by the rest

Answer 2

Wait why is there an equal sign right there???

Answer 3

are you asking why \((x+3i)(x-3i)=x^2+9\)

Answer 4

Yes, wouldn't you just multiply them all?

Answer 5

you have to multiply them all, yes
but what i meant was i would do that product first because it is the easiest

Answer 6

\((s+3i)(x-3i)=x^2+3ix-3ix-9i^2=x^2+9\)

Answer 7

Oooohh, I get it! Thanks so much!!