Math, asked by CaptainHP, 5 hours ago

The sum and product of zeros of a quadratic polynomial are root 2 and1 upon 3nthe quadratic polynomial. Find the quadratic polynomial​

Answers

Answered by Anonymous
2

let \: the \: zeros \: of \: polynomial \: be \:  \alpha  \: and \:  \beta  \\  \\  \alpha  +  \beta  =  \sqrt{2}  \: (given) \\  \alpha  \beta  =  \frac{1}{3}  (given)  \\  \\ quadratic \: polynomial \: form =  \\  {x}^{2}  - ( \alpha  +  \beta )x +  \alpha  \beta  \\  = {x}^{2}  \ -   \sqrt{2} x +  \frac{1}{3}  \\  \\  = 3 {x}^{2}  - 3 \sqrt{2} x + 1

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