Question

how do you write this in standard form
8, -14, and 3 + 9i

Answer 1

what do you mean by standard form?

Answer 2

you do know that you can't have a function with these roots right?

Answer 3

I have to turn those roots into something like this f(x) = x4 - 11x3 + 72x2 - 606x + 10,080

Answer 4

the number of complex roots of a function is always even. That's why it is difficult to deal with functions higher than degree 5.

Answer 5

given that you have forgotten to provide me the root 3-9i, your answer would be:
f(x)=(x-8)(x+14)(x-3-9i)(x-3+9i)
If you are still insisting on not having the root 3-9i, your answer will be the first three parentheses.

Answer 6

clear on that?

Answer 7

I'm suppose to write a polynomial function of minimum degree with real coeffecients whose zeros include the numbers I gave in standard form.

Answer 8

I told ya, you can't have function with odd number of imaginary roots. That's why you will be getting the imaginary element in your answer.

Answer 9

Oh and btw 3-9i wasn't one of the roots given to me on my question which was why I didn't provide you with it.

Answer 10

So none of these could possibly be the answer?

f(x) = x4 - 11x3 + 72x2 - 606x + 10,080

f(x) = x4 - 303x2 + 1212x - 10,080

f(x) = x4 - 11x3 - 72x2 + 606x - 10,080

f(x) = x4 - 58x2 + 1212x - 10,080

Answer 11

look, you have a function of degree 4, which means that you must have four roots. you provided me with only three roots and I told you that the only way that it would make sense is that you have the final root that I provided you with. without that root, you are stuck.

Answer 12

If you want to check the validity of my answer, multiply the parentheses and see which one you would get.

Answer 13

of course, you should keep the fact in mind that in a quiz, midterm, homework, etc, you won't be given the full thing; they should keep something in their sleeves to test you with...

Answer 14

This missing root was your missing piece of puzzle.

Answer 15

multiply the parentheses and tell me what you get

Answer 16

okay hang on

Answer 17

I got x^4 - 11x^3 - 72x^2 + 606x - 10,080

Answer 18

which is one of your options, isn't it?

Answer 19

Yes, am I correct?

Answer 20

You are, as well as me. You did multiply all FOUR roots, right? the three you had and the one I provided you with?

Answer 21

Yes

Answer 22

Then that is your answer...