(Q9)Find the quadratic polynomial with zeros -2 and
1
3
.

Answer:

Let the quadratic polynomial be ax2+bx +c,a≠0 and its zeros be α and β

Here α=-2 andβ=
1
3

Sum of the zeros =α+β

= - +
=
-

product of the zeros=αβ

=
×(-) =
-

=[x2 - (
-
)x +(
-
 )]

the quadratic polynomial will be 3x2+x-2