Question

Find a quadratic polynomial,the sum and product of whose zeroes are 1 and 1/3 respectively.
Answer briefly​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

$Let \:the \: Quadratic \: polynomial \: be \\ax^{2}+bx+c, and \:it's \: zeroes \:be \: \alpha \:and \\\beta .$

$We \:have, \\\alpha + \beta = 1 ,$

$and \: \alpha \beta = \frac{1}{3}$

$ax^{2}+bx+c = k[x^{2} - (\alpha + \beta)x + \alpha \beta ] ,$

$Where \: k \: is \: a \: constant$

$= k [ x^{2} - 1x + \frac{1}{3} ]$

$We \: can \: put \: different \: values\:of \: k$

$When\: k = 3 , \:the \: Quadratic \: polynomial \\will \: be \: 3x^{2} -3x + 1$

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