Find zeroes of the polynormial `x^(2)-3` and verify the relation between zeroes and coefficients.

Answer

N/a

Explanation

Let`" "p(x)=x^(2)-3=x^(2)-(sqrt(3))^(2)=(x-sqrt(3))(x+sqrt(3))`
`:. " " p(t)=0`
`implies" " (x-sqrt(3))(x+sqrt(3))=0`
`implies " " x-sqrt(3)=0 " " or " " x+sqrt(3)=0`
`implies " " x=sqrt(3) " " or " " x=-sqrt(3)`
`:.sqrt(3)`and `-sqrt(3)` are zeroes of p(x).
Now,`" "` sum of zeroes `=sqrt(3)+(-sqrt3)=0=-(0)/(1)=-("coefficient of" x)/("coefficient of" x^(2))`
and `" "`product of zeroes `=sqrt(3)(-sqrt(3))-=3=(-3)/(1)=("coefficient term")/("coefficient of" x^(2)) " " ` Hence Verified.