find the quadratic polynomial the sum and the product of whose zeros are -2 and ¼ respective
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Answer:
Given :-
- Sum of zeroes of the quadratic polynomial = - 2
- Product of zeroes of the quadratic polynomial = 1/4
Find Out :-
- The quadratic polynomial
Solution :-
We know that,
x² - (sum of roots)x + product of roots = 0
➞ x² - (- 2)x + 1/4 = 0
➞ x² + 2x + 1/4 = 0
∴ The required quadratic polynomial is
x² + 2x + 1/4 = 0;
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