Question

Write a Quadratic polynomial , sum of those zeroes is 1\4 and product us -1​

Answer 1

Answer:

$\alpha + \beta = \frac{1}{4 } = \frac{ - b}{a} \\ \alpha \beta = - 1 = \frac{c}{a}$

The required polynomial is

${x}^{2} - \frac{x}{4} - 1 = 0 \\ or \\ 4 {x}^{2} - x - 4 = 0$