Question

write a polynomial function of minimum degree with real coefficients whose zeros include those listed 4, -14. and 5+8i?? thank you

Answer 1

you know that your other root or zero has to be 5 - 8i
so then you know your factors for t your function...
\[(x-4)(x+14)(x-5-8i)(x-5+8i)\]
then you get
\[(x^{2}+10x-56)([x-5]^{2}-8i)\]

Answer 2

that should make life fairly easy

Answer 3

thank u much

Answer 4

so*