Question

find a quadratic Polynomial each with given number as sum and product of its zeros as 1/4 and -1 respectively
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Answer 1

Answer:

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

Step-by-step explanation:

we know required polynomial is

$x {}^{2} - (sum of zeros)x - product of zeros$

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

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