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 + 3i

@triciaal

Question

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 + 3i

@triciaal

triciaal · Answer

you are given most of the zeros
then find what else do you need to have real coefficients  get rid of the complex number 
remember i^2 = -1
post what you get   remember I haven't had time to try it yet. do you have options for the solution?

anonymous · Answer

f(x) = x4 - 6x3 + 12x2 - 90x + 416

 f(x) = x4 - 45x2 + 180x - 416

 f(x) = x4 - 35x2 + 180x - 416

 f(x) = x4 - 6x3 - 12x2 + 90x - 416

are my answer choices @triciaal

anonymous · Answer

would you kind of solve it like the last one? make it like (x-4) (x+8) and idk how to do the other one

triciaal · Answer

yes

triciaal · Answer

on the phone give me a few minutes to be back

triciaal · Answer

(x-4)(x +8)(x -2 + 3 i)(x + 2-3 i)

triciaal · Answer

@jim_thompson5910 will you please help me with this?