Question

8, -14, and 3 + 9i

f(x) = x4 - 11x3 + 72x2 - 606x + 10,080

f(x) = x4 - 303x2 + 1212x - 10,080

f(x) = x4 - 11x3 - 72x2 + 606x - 10,080

f(x) = x4 - 58x2 + 1212x - 10,080

Answer 1

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

Answer 2

if 3+9i is a zero, then 3-9i is also a zero

Answer 3

tru

Answer 4

just write all the roots as factors and expand them

Answer 5

im not sure how

Answer 6

if k is a zero, (x-k) is a factor

Answer 7

8, -14, 3 + 9i, 3-9i are your zeroes

Answer 8

(x-8)(x--14)(x-(3+9i))(x-(3-9i))

Answer 9

multiply them and simplify

Answer 10

so factor

Answer 11

?

Answer 12

u need to multiply them

Answer 13

wolfram says answer is D

http://www.wolframalpha.com/input/?i=%28x-8%29%28x--14%29%28x-%283%2B9i%29%29%28x-%283-9i%29%29+

Answer 14

whoa

Answer 15

u can multiply them and see if u get the same. but its a pain in the xxx to multiply 4 factors lol

Answer 16

yup

Answer 17

thanks bud

Answer 18

your a true hero

Answer 19

aww thnks.... you're wlcme :)