Does anyone know how to do this?? I've tried to do it and the answer that I got wasn't one of the choices.

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

5, -3, and -1 + 3i

Question

Does anyone know how to do this?? I've tried to do it and the answer that I got wasn't one of the choices. 

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

5, -3, and -1 + 3i

anonymous · Answer

What did you try before?

anonymous · Answer

I did (x-5)(x+3)(-1+3i)(-1-3i)

anonymous · Answer

Why not x's in front of the -1+3i and -1-3i? Thats the correct set up.

imstuck · Answer

Those zeros look like this in practice:|dw:1411954554032:dw|

imstuck · Answer

Then you multiply all those together.  It's a minimum 4 degree polynomial.

anonymous · Answer

OH!!!! Okay totally forgot I had to do that. Makes so much more sense of why I was getting the wrong answer. Thank You!

anonymous · Answer

You have the right idea, just forgot the x's $$(x-5)(x+3)(x-(-1+3i))(x-(-1-3i))$$

anonymous · Answer

Thanks a bunch:))))