Question

Please help! Will fan and medal!

Answer 1

Write a polynomial function with rational coeffiecients so that P(x)=0 has the given roots. Show all work.
11-2i and 8+13i

Answer 2

@mathmath333

Answer 3

@mustafa2014

Answer 4

@jigglypuff314

Answer 5

same idea

Answer 6

(x-(11-2i))(x-(8+13i))=0

Answer 7

because 11-2i and 8+13i roots of this polynomial

Answer 8

ohh.

Answer 9

well I don't have to do anything else in order to get the answer? its just that?

Answer 10

you are given that all coefficients are rational ?

Answer 11

yes

Answer 12

\(\large \begin{align} \color{black}{\left(x-(11-2i )\right)\times \left(x-( 8+13i)\right) =0}\end{align}\)

does'nt gives rational coefficients

http://www.wolframalpha.com/input/?i=%28x-%2811-2i+%29%29*%28x-%28+8%2B13i%29%29%3D



because the complex numbers always comes in pairs so ur right answer would be



\(\large \begin{align} \color{black}{\left(x-(11-2i) \right)\left(x-(11+2i )\right)\left( x-(8+13i) \right)\left(x-(8-13i)\right)=0 }\end{align}\)

http://www.wolframalpha.com/input/?i=%28x-%2811-2i%29+%29*%28x-%2811%2B2i+%29%29*%28+x-%288%2B13i%29+%29*%28x-%288-13i%29%29%3D

Answer 13

i think there are somthing wrong

Answer 14

wait so which one is right?

Answer 15

second one