(Q18) Find the quadratic polynomial in each case,with the given numbers as the sum and product of its zeros respectively.
1
4
,-1

Answer:

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

Here,α+γ=
1
4
and αγ=-1

Thus,the polynomial formed=x2-(sum of the zeros )x+product of the zeros

=x2 - (
)x-

= x2-
x
 -1

then the polynomial is x2-x-