Question

write a function with the given characteristics, a polynomial with rational coefficients having roots 3,3, and 3-i

Answer 1

If 3-i is a root, then 3+i is a root

Answer 2

\[
p(x)= (x-3)(x-3)(x-3+i)(x -3 -i)

\]
Expand it and you are done

Answer 3

When you expand it, you get
\[
p(x)=x^4-12 x^3+55 x^2-114 x+90
\]

Answer 4

thank you so much! I do online schooling and not having an actual teacher makes it hard. but when i am able to see it worked out like this it makes more sense!

Answer 5

You are welcome. Try to use my site http://saab.org it has many online interactive problems