Question

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
4, -14, and 5 + 8i

Answer 1

A: f(x) = x^4 - 362.5x^2 + 1450x - 4984

B: f(x) = x^4 - 9x^3 + 32x^2 - 725x + 4984

C: f(x) = x^4 - 67x^2 + 1450x - 4984

D: f(x) = x^4 - 9x^3 - 32x^2 + 725x - 4984

Answer 2

Thank you! i'm sprry but I dont understand due to so many of these %%% symbols that interfere with your answer.

Answer 3

thats what happens when you copy and paste material instead of taking the time to actually work thru the questions with the asker :/

Answer 4

we should prolly start with setting up the product of the roots

Answer 5

for any given root "r"; the term (x-r) needs to be included in the setup

Answer 6

Do i multipy (x-4) (x+14) and something??

Answer 7

yes

Answer 8

idk the last thing i multiply it with

Answer 9

the complex number has a conjugate as well

Answer 10

is it 5 - 8i

Answer 11

complex roots always come in pairs

5 + 8i and 5 - 8i

so include in the rooted setup

(x-(5+8i)) and (x-(5-8i))

Answer 12

so i multiply those two and (x-14) (x+4)?

Answer 13

yes

Answer 14

Thank you so much!!!!

Answer 15

youre welcome, and good luck ;)