find a quadratic polynomial whose zeroes are minus 1/3 and 4/5
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Given
Zeroes pf the quadratic equation is -1/3 and 4/5
To Find
Quadratic Polynomial
Now Let
α = -1/3 and β = 4/5
Sum of zeroes
(α + β) = -1/3 + 4/5
(α + β) = (-5+12)/15
(α + β) = 7/15
Product of Zeroes
αβ = -1/3×4/5
αβ = -4/15
General Formula
x² -(α+β)x + αβ = 0
Now up the value on formula
x² - (7/15)x + (-4/15) = 0
x² - (7/15)x - 4/15 = 0
Taking LCM
15x² - 7x - 4 = 0
Answer
15x² - 7x - 4 = 0
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thats Bharti''s Sketch Book
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