Find the zeroes of the polynomial x^2 – 3 and verify the relationship between the zeroes and coefficients.
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Answered by
5
Given:-
- x² - 3
To Find:-
- the relationship between the zeroes and coefficients.
Step-by-step solution:-
- → x²-3 = 0
- → x² = 3
- → x = ±√3
Therefore, the zeroes of the given polynomial are √3 and -√3.
Relationship between the zeroes and. coefficients :-
- Sum of zeroes = √3+(-√3) = √3-√3
= 0 = -x coefficient/x² coefficient
- Product of zeroes = (√3)(-√3)
= -(√3)² = -3/1 = constant/x² coefficient
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