Question

If the two zeroes of x^4+ 2x^3–5x^2 + 6x are 'o' and' -1' then
find the remaining zeroes.​

Answer 1

Answer:

let other two zeroes be m and n

then using theory of equations

m+n+0-1=-2

m+n=-1. (1)

also mn-n+0+0-m+0=-5

mn-(m+n)=-5

using (1) mn=-6 (2)

now using 1 and 2 quadratic eq whose roots are m and n in r is

r^2+r-6=0

(r+3)(r-2)=0

hence m=-3 and n=2

therefore other two zeroes are -3 and 2