Question

find a quadratic polynomial whose sum and product of zeroes are -2√3 and -9 respectively​

Answer 1

To Find : The polynomial whose sum and product of zeroes are -2√3 and -9 respectively.

Solution :

Sum of zeroes : -2√3

Product of zeroes : -9

Then ,

Using the formulae :

k[x²-(Sum of zeroes)x+Product of zeroes]

Refer to the above attachment for full solution .

Answer 2

Answer:

x^2+2√3-9

Step-by-step explanation:

Sum of zeroes=-b/a

-2√3=-b/a

Let a=1

Therefore, b=2√3

Product of zeroes=c/a

a=1 (as proven above)

Therefore, c=-9

The equation would be x^2+2√3x-9