Question

find a qudratic polynomial each with the given numbers as the sum and the product of its zeroes respectively of 1/4 ,-1
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Answer 1

Answer:

$let \: \alpha \: and \: \beta be \: the \: zeroes \: of \: the \: polynomial \: f(x)$

$then \: ( \alpha + \beta ) = 1 \div 4$

$and \: ( \alpha \beta ) = - 1$

$so \: the \: required \: eqution \: is \: =$

$x^{2} - ( \alpha + \beta )x + ( \alpha \beta )$

$x^{2} - 1 \div 4x - ( - 1)$

$4x^{2} - x + 1$

Hope it's helpful

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