Question

find a polynomial whose sum and product of zeroes are -19/6 and 5/3 respectively​

Answer 1

Answer:

If α, β be the zeros of the quadratic polynomial ,then

(x−α)(x−β) is the quadratic polynomial.

Thus, (x−α)(x−β) is the polynomial.

=x

2

−αx−βx+αβ

=x

2

−x(α+β)+αβ(i)

(α+β)=−5αβ=3

Now putting the value of (α+β),αβ in equation (i) we get,

x

2

−x(−5)+3

=x

2

+5x+3