Question

find the 3rd degree polynomial equation with rational coefficient that has roots -1 and 3-2i

Answer 1

If 3-2i is a root, we know that 3+2i must also be a root (for the overall equation to be rational). So, the final equation will be:
[x-(-1)]*[x-(3-2i)]*[x-(3+2i)]

Answer 2

thank you hey can you help me on another promblem

Answer 3

Sure

Answer 4

ok

Answer 5

find the zeroes of x3+6x2+10x=0

Answer 6

The zeroes are just the roots/factors. Start by pulling an x out, which leaves you with
x(x²+6x+10)

Can you find the factors to the second half there?

Answer 7

I don't think so