Find a quadratic polynomial whose sum of zeros is 0 and product of zeros is -4√3.
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Answer :-
- x² - 4√3 is the required quadratic polynomial.
Step-by-step explanation :-
Given :
Sum of zeros = 0
Product of zeroes = -4√3
To find :
The quadratic polynomial.
Solution :
For a quadratic polynomial :
- x² - (Sum of zeros)x + (Product of zeroes)
Substituting we get,
⇒ x² - (0)x + (-4√3)
⇒ x² - 0 - 4√3
⇒ x² - 4√3 is the required quadratic polynomial.
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