Question

A quadratic polynomial with 0 , √ as the sum and product of its zeroes is -- ?

Answer 1

Answer:

the correct answer is option no 3

Answer 2

Answer:

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Step-by-step explanation:

To Find :-

Quadratic polynomial.

Solution :-

Given,

Sum of roots (α + β) = 0

Product of roots (αβ) = √2

As we know that,

Quadratic polynomial ;

⟶ x² - (Sum of roots)x + (Product of roots)

[ Put the values ]

⟶ x² - (0)x + √2

⟶ x² - 0x + √2

⟶ x² + √2

Therefore,

The quadratic polynomial is x² + √2.

For information :-

The quadratic formula to find the solution of the quadratic equation ax² + bx + c = 0 is given by,

Here,

a, b, c = Real numbers

a ≠ 0

x = Unkno