Question

Find a polynomial function of 4th degree that has zeros: 2,-2,1-3i

write in standard form

Answer 1

@Zale101
@Jhannybean

Answer 2

i need to sleep, but if anyone could leave a nice explanation for me to read later that'll be great

Answer 3

4th degree polynomial so 4 factors
complex always come in pairs so if 1-3i is a root then 1 +3i is also a root
note that a root is the same as a zero
if you have a root, a then (x-a) is a factor.
to get the polynomial multiply the factors.
example if 2 and 3 are roots then the function is (x-2)(x-3) = x^2-5x + 6
to write in standard form put the terms in order of descending powers x^4 then x^3 then x^2 then x then constant