Question

find
quadratic polynomial whose sum and product of zero. are 1/4 and -1​

Answer 1

$\huge\tt\colorbox{pink}{Answer}$

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

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