Question

Find a quadratic polynomial whose sum and product of zeros are given is -3and2

Answer 1

Answer:

I have solve the problem. Hope it helps.

Answer 2

$Let \: \alpha \: and \: \beta \: are \: zeroes$

$of \: polynomial$

$Given \: \alpha + \beta = -3 \: --(1)$

$\alpha \beta = 2 \: --(2)$

$\blue { The \: Quadratic \: polynomial }$

$\blue {whose \: zeroes \: \alpha \: and \:\beta\:is }$

$\pink {k[x^{2} - (\alpha+\beta)x+\alpha \beta] }$

$\pink { where \: k \in R}$

$= k [ x^{2} - (-3)x + 2 ]$

$= k(x^{2} + 3x + 2)$

$If \: k = 1 ,the \: \green {the \: Quadratic \: polynomial }$

$\green {is \; x^{2} + 3x + 2}$

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