Question

2. Find a quadratic polynomial each with the given numbers as the sum and product of its
zeroes respectively.1/4'-1

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Answer 1

Answer:

${x}^{2} - \frac{1}{4} x - 1$

Step-by-step explanation:

$\alpha + \beta = \frac{1}{4}$

$\alpha \beta = - 1$

The required polynomial is in the form of

${x}^{2} - (sum \: of \: its \: roots)x + product \: of \: its \: roots$