Question

3, -13, and 5 + 4i

f(x) = x4 - 8x3 - 12x2 + 400x - 1599

f(x) = x4 - 200x2 + 800x - 1599

f(x) = x4 - 98x2 + 800x - 1599

f(x) = x4 - 8x3 + 12x2 - 400x + 1599

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

lets do this in unconventional way

Answer 3

ok

Answer 4

5+4i is one root so ?

Answer 5

5-4i is also one

Answer 6

list all the roots once

Answer 7

3, -13, 5-4i and 5+4i

Answer 8

\(\alpha + \beta + \gamma + \psi = \frac{-b}{a} \)

Answer 9

sum of roots equals that. Now just dont get confuse yet, just add all the roots u listed, and tell me wat u get

Answer 10

f(x) = x4 - 200x2 + 800x - 1599

Answer 11

I want you add all the roots you listed and see wat u get

Answer 12

sum of roots :

3 + -13 + 5-4i + 5+4i = ?

Answer 13

10

Answer 14

-10

Answer 15

check again

Answer 16

ahhhh

Answer 17

>_>

Answer 18

ZERO

Answer 19

yess

Answer 20

so 0 = -b/a, => b = 0

Answer 21

yes

Answer 22

there will not be x^3 term in the polynomial.

Answer 23

ok

Answer 24

So, answer is either B or C

Answer 25

yep

Answer 26

lets figure out the x^2 coefficient

Answer 27

Ive told you this is unconventional way, so if u dont get it, its okay :)

Answer 28

ok, how do you do that

Answer 29

why does this work all the time?

Answer 30

\(\alpha \beta + \beta \gamma + \gamma \psi +\psi \alpha = \frac{c}{a}\)