Can someone help me with this question:

Create a polynomial of the lowest degree, with rational coefficents, with the given zeors (leave you answer in factored form, do NOT simply:

a) 2 with a multiplicy of 2 and 5i

Question

Can someone help me with this question:

Create a polynomial of the lowest degree, with rational coefficents, with the given zeors (leave you answer in factored form, do NOT simply:

a) 2 with a multiplicy of 2 and 5i

anonymous · Answer

does this look like :  $$(x-2)^{2}-5i$$

anonymous · Answer

?
wait  5i needs an x

anonymous · Answer

$$is \it: (x-2)^{2}(x+5i)$$

anonymous · Answer

that wouldn't work because 5i isnt a rational coefficient...if you have one complex solution, you also must have its conjugate (im pretty sure) so you have to find a factor that has +/- 5i in it

anonymous · Answer

oh thats right
i forget the conjugate

anonymous · Answer

so i need to [x-1+5i][x-1-5i] do i need to factor this first

anonymous · Answer

?

anonymous · Answer

why dont you just use the factor x^2+25

anonymous · Answer

oh i see, ok I got it
thank you!!!