Question

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

Answer 1

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Answer 2

A quadratic polynomial is in the form

x² - (sum off zeroes) x + (products ct of zeroes)

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

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

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

is the polynomial.