Question

Form a polynomial function with real coefficients having the given:
Degree: 4; zeros; -1, 2 and 1-2i

Answer 1

I just forgot how to set this one up with the 'i' in there I think I can figure it out from there if someone shows me how to set it up

Answer 2

well I think you may have missed a zero

perhaps is

\[1 \pm 2i\]

Answer 3

start with
\[x = 1-2i\]
then work backwards to get it to equal 0 (with no i)
\[x-1 = -2i\]
\[(x-1)^{2} = (-2i)^{2}\]
...

Answer 4

so it can be

P(a) = (a +1)(a - 2)(a + (1-2i))(a - (1 -2i))

Answer 5

thank you !