Question

if 2+√3 and 2-√3 are two zeros of polynomial of x^3-6x^2+9x-2 then the other zero is​

Answer 1

Answer:

Step-by-step explanation:

let the third root be k then equation will be (x-k)(x-2-√3)(x-2+√3)=0

now s​um of the three roots​ is​ equal to -b/a i.e

k+ 2+√3+ 2-√3 = 6

from the given equation a=1, b= -6 , c=9 , d=-2

now,

k+4=6 => k=2

so the third root is 2