Find zeroes of the polynormial `2x^(2)-5x+2` and verify the relation between zeroes and coefficients.

Answer

N/a

Explanation

Let `" " p(x)=2x^(2)-5x+2=2x^(2)-4x-x+2`
`=2x(x-2)-1(x-2)`
`=(x-2)(2x-1)`
`:. " " p(x)=0`
`implies " " (x-2)(2x-1)=0`
`implies " " x-2=0 " " or " " 2x-1=0`
`implies " " x=2 " " or " " x=(1)/(2)`
`:.` Zeroes of p(x)are 2 and `(1)/(2)`.
Now,`" "` sum of zeroes `=2+(1)/(2)=(5)/(2)=-(-5)/(2)=-("coefficient of" x)/("coefficient of" x^(2))`
and `" "` product of zeroes`=(2)((1)/(2))=1=(2)/(2)=("coefficient term")/("coefficient of" x^(2)) " " ` Hence Verified.