Question

Find all complex zeros of each polynomial function. Give exact values. List multiple zeros as necessary.*

f(x)=x^4+2x^3-3x^2+24x-180

Answer 1

It might be prudent to find any real ones that may exist. There must be one Positive Real Zero and one Negative Real Zero. If we are lucky and they are rational, they must have denominators that are factors of 180. I'm thinking we're not that lucky.

What's your plan for finding them? Do we get to use calculus?

Answer 2

Nope just algebra. I'm thinking just going by the factors of 180. and so on....

Answer 3

That won't get you very far. Let's see what you get.

Answer 4

3 is a zero.

Answer 5

-5 is a zero

Answer 6

so I have f(x)=(x-3)(x+5)(x^2+12)

Answer 7

the hardest part was to find the value to use synthetic division.

Answer 8

?? 1) I don't know why i said "Denominators". Sleep typing, I think.
2) When I was looking at it, I had \(−38x^{2}\) . No wonder I thought there was little hope!
2) You have not quite completed the problem. Find the Complex Zeros.

Answer 9

I got the answer. It wasn't too hard, but it's hard if you have many possible values of 180.

Answer 10

How about this one. f(x)=2x^5+11x^4+16x^3+15x^2+36x?

Answer 11

nvm i meant to close this question.