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

Answer 1

i get the (x-4)(x+8) ones, but the imaginary number has me stuck

Answer 2

I would like it explained please.

Answer 3

you cant have a polynomial with one complex root.
There has to be an even number and they have to be conjugates

Answer 4

so 2 - 3i as well?

Answer 5

yes, in this case you have to include that

Answer 6

Ok. i think i get it now. Thanks for helping

Answer 7

no problem