(Q10)What is the quadratic polynomial whose sum of zeros is
-3
2
 and the product of the zeros is -1.

Answer:

Let the quadratic polynomial be ax2+bx+c and its zeros be α and β

Here α+β =
-3
2
and αβ=-1

Thus,the polynomials formed=x2 - ( α+β)x+ αβ

=x2 - (
-
)x+(-)

=x2+
x
 -
the other polynomials are(x2+
x
 - )

Then the polynomial is 2x2+x-2