Question

Find a quadratic polynomial each with the given number as the sum and product of its
zeros respectively:1/4,-1
011
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Answer 1

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Answer 2

$sum \: of \: the \: zeroes \: = \frac{1}{4} \\ product \: of \: the \: zeroes = - 1 \\ \alpha + \beta = \frac{ - b}{a} = \frac{1}{4} \: \: ....eq(i) \\ \alpha \beta = \frac{c}{a} = - 1 \: \: ....eq(ii) \\ from \: eq(i) \: and \: eq(ii) \\ a = 4 \\ b = - 1 \\ c = - 1 \\ quadratic \: equation \: = {a}^{2}x + bx + c \\ substituting \: ... \\ {4}^{2}x - x - 1 \: \: is \: final \: answer$

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