Question

find quadratic polynomial if sum of zeroes and product of zeroes are:-

Answer 1

Hey there!
The basic concept to be used is The quadratic polynomial with given sum and product of roots is
x² - ( Sum of roots) x + Product of roots

Now,
Given
Sum of roots = -1/5
Product of roots = 1/5

Quadratic polynomial = x² - ( -1/5)x + 1/5 = x² + 1/5x + 1/5 = 5x² + x + 1

2) Given
Sum of roots = 0
Product of roots = √3

Quadratic polynomial = x² - ( 0)x + √3 = x² + √3

3) Given,
Sum of roots = 1/3
Product of roots = -1

Quadratic polynomial = x² - ( 1/3) x - 1 = x² -1/3x -1 = 3x² - x -3

Hope it helps!

Answer 2

Hello friend

Your answer is in the given attachment

you can check it

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