Question

Find a qaudratic polynomial whose sum and product of its zeroes are 0 and √3​

Answer 1

Answer:

The given question is solved in the uploaded photos.

Answer 2

Given-
• Sum of zeroes are 0
• Product of zeroes are root 3


To find-
• A quadratic polynomial


Now,
As we know that:-
• alpha + beta= -b/a
0/1= -b/a ....(¡)
And
• alpha*beta=c/a
root 3/1 = c/a ....(¡¡)
Now,

From (¡) and (¡¡), we get :-

a = 1

b= 0

c = root 3

As we know that:-

For a quadratic polynomial:-

ax^2+ bx +c
(1)x^2 + (0)x + (root 3)
x^2 + 0x + root 3

Hence, the quadratic polynomial is x^2 + root 3








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