Question

What is the quadratic polynomial whose sum and the product of zeroes is √2, ⅓ respectively? ​

Answer 1

Answer:

Required polynomial=3x^2-3√2x+1

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Answer 2

Question :-

• What is the quadratic polynomial whose sum and the product of zeroes is √2, (1/3) respectively ? 

Formula used :-

• Quadratic polynomial whose sum and the product are given is written as :- x² - (sum of zeros)x + Product of zeros = 0

Solution :-

Putting values we get :-

→ x² - (√2)x + (1/3) = 0

Taking LCM,

→ (3x² - 3√2x + 1) / 3 = 0

→ 3x² - 3√2x + 1 = 0 (Ans.)

Hence, the Required Quadratic polynomial is 3x² - 3√2x + 1 = 0 .