Find zeroes of the polynomial `x^(2)-4` and verify the relation between zeroes and coefficients.

Answer

N/a

Explanation

Let`" "p(x)=x^(2)-4=x^(2)-2^(2)=(x-2)(x+2)`
`:. " " p(x)=0`
`implies" " (x-2)(x+2)=0`
`implies " " x-2=0 " " or " " x+2=0`
`implies " " x=2 " " or " " x=-2`
`:.` Zeroes of p(x)are 2 and -2.
Now,`" "` sum of zeroes `=2+(-2)=0=-(0)/(1)=-("coefficient of" x)/("coefficient of" x^(2))`
and `" "` product of zeroes `=(2)(-2)=-4=(-4)/(1)=("coefficient term")/("coefficient of" x^(2)) " " ` Hence Verified.