Find a quadratic polynomial the sum and product of whose zeros are 1by 3 and 1by 7
Answers
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2
Solution
Given :-
- Sum of Zeroes = 1/3
- Product of Zeroes = 1/7
Find :-
- Equation of quadratic polynomial
Explanation
Using Formula
★ x² - ( Sum of zeroes)x + (product of zeroes) = 0
Keep all above values,
➡x² - (1/3)x + (1/7) = 0
➡ x²- x/3 + 1/7 = 0
➡ (21x² - 7x + 3)/21 = 0
➡ 21x² - 7x + 3 = 0
Hence
- Polynomial equation will be 21x² - 7x + 3 = 0
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Step-by-step explanation:
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