Question

obtain all zeroes of x⁴-17x²+36x-20,the two root are 5 and-2

Answer 1

5 and -2 are zeroes of given polynomial p(x) = x^4-17x^2+36x-20

therefore
(x-5) and (x+2) are factors of p(x)

(x-5)(x+2) = (x^2-3x-10) is factor of p(x)

divide p(x) with (x^2-3x-10) you get (x^2-3x+2)
then find the factors of (x^2-3x+2) = x^2 -x-2x+2

= x(x-1)-2(x-1)
=(x-1)(x-2)

p(x) =(x-5)(x+2)(x-1)(x-2)

other two zeroes are 
x-1 =0 or x-2=0

x=1 or x=2

Answer 2

Hi
I THINK THAT THIS WAS HELPFUL DO YOU