Question

3. Find the Quadtatic polynomial whose sum and product of zeros are √2 +1 ,1÷√2+1​

Answer 1

Answer:

The answer is

$\sqrt{2} - 1$

Step-by-step explanation:

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Answer 2

Answer:

x^2- (√2+1)x + (√2-1) = 0

Step-by-step explanation:

the roots are alpha and beta

Alpha + Beta = √2+1.

Alpha × Beta = 1÷ √2+1 =√2-1

The Quadratatic polynominal rule is:----

${x }^{2} - (sum \: of \: roots) x + (product \: o f \: roots) = 0$

The answer is :---

x^2- (√2+1)x + (√2-1) = 0

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