Find zeroes of the polynomial `2t^(2)+3t` and verify the relation between zeroes and coefficients.

Answer

N/a

Explanation

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