Question

For each of the following, find a quadratic polynomial whose

sum and product respectively of the zeroes are as given.

a) -3/2√5 , -1/2​

Answer 1

Answer:

−(

2

5

−3

)x+(

2

−1

)=0

:⟹x

2

+

2

5

3x

−

2

1

=0

:⟹

2

5

2

5

x

2

+3x−

5

=0

:⟹2

5

x

2

+3x−

5

=0

So, the quadratic polynomial is:-

2√5x² + 3x - √5