Question

**HELP, MEDALS AWARDED**
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

4, -8, and 2 + 5i

Answer 1

This list isn't complete, and they do that to trick you, remember, if 2+5i is solution, what other solution do we have?

Answer 2

that ,means we also have 2-5i as our fourth zero that can be used to find an equation!

Answer 3

You got it!

Answer 4

you sir, are of great help!

Answer 5

And remember that a polynomial can be factored into (x-its zero)(x-another one of its zeros)

Answer 6

So I'll set it up or you and then all you gotta do is multiply

(x-4)(x-(-8))(x-(2+5i)(x-(2-5i))

Answer 7

excellent! thanks again!

Answer 8

(x-4)(x+8)(x-2-5i)(x-2+5i)

This is the questio that I said is a pain in the retrice cause you have to multiply all these together once, thensimpliy and add and all that ughhhh,

Answer 9

yea, but its something that has to be done XD

Answer 10

;Yep, I was about to do difference of squares ut that dont work lol the complex roots, when you multiply them you get x^2-4x+29 just to save you some time :)

Answer 11

jajaja just when you posted the answer i finished solving it, but that you either way!