Question

Find a polynomial with integer coefficients that satisfies the given conditions...
P has degree 3 and zeros 2 and i.

Answer 1

I have this set up...
(x-2)(x+i)(x-i)
Need help from there...if this is even right lol

Answer 2

Yes, the polynomial is correct.
All you have to do is to expand it to the standard form.
Note that (x+i)(x-i)=x^2-i^2.

Answer 3

So, (x-2)(x^2-i^2)=.... one second

Answer 4

Well i^2= -1 right?

Answer 5

yep!

Answer 6

So it would be (x-2)(x^2-(-1)

Answer 7

Or (x-2)(x^2+1) ?

Answer 8

Yep, expand it!

Answer 9

x^3-2x^2+x-2 ?

Answer 10

Looks good to me!

Answer 11

Thanks!

Answer 12

yw!