Question

Find out the quadratic polynomial, where the sum and product is √2and 1/3

respectively.​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Given :-

Sum of the zeroes = √2

Product of the zeroes = 1/3

To find :-

Find the Quadratic Polynomial ?

Solution :-

Let the zeroes be α and β

Given that :

Sum of the zeroes = √2

α+β = √2

Product of the zeroes = 1/3

αβ = 1/3

We know that

A quadratic polynomial whose zeroes α and β is K[x²-(α+β)x+αβ] , Where K is a constant .

On substituting these values in the above formula then

=> K[x²-(√2)x+(1/3)]

=> K[x²-√2x+(1/3)]

=> K[3x²-3√2x+3)/3]

If K = 3 then

The required Polynomial = 3x²-3√2x+1

Answer:-

The required quadratic polynomial for the given problem is 3x²-3√2x+1

Used formulae:-

A quadratic polynomial whose zeroes α and β is K[x²-(α+β)x+αβ] , Where K is a constant .