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The polynomial function p(x)=x³-3 x²+x+205 has x=-5 as a root.
What are the remaining roots of p(x) ? Separate multiple answers with a comma.
Enter the factored form of p(x).

The polynomial function pxx3 xx205 has x5 as a root What are the remaining roots of px Separate multiple answers with a comma Enter the factored form of px class=

Respuesta :

The remaining roots of p(x) is x =  -5 , 4 + 5i , 4 - 5i and the factored form of p(x) =  ( x + 5 ) ( x - ( 4 +  5i ) ( x - ( 4 - 5i )

Given :

The polynomial function p(x)=x³-3 x²+x+205 has x=-5 as a root.

using synthetic division :

x = -5

5     1    -3    1    205

     0     5    10    55

  1     2    11   260

on solving using the quadratic formula or calculator the roots are :

x = -5 , 4 + 5i , 4 - 5i

so quadratic form of p ( x ) = ( x + 5 ) ( x - ( 4 +  5i ) ( x - ( 4 - 5i )

learn more about the function here:

https://brainly.com/question/9046022

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