Question

Write a quadratic polynomial if sum of zeroes and product of zeros is − 1/3 and 1/2​

Answer 1

Answer:

$let \: \alpha = \frac{ - 1}{3} and \: \beta = \frac{1}{2} \\ \blue{\mathfrak{\underline{\large{Using \: quadratic \: equation}}}:} \\ {x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ {x}^{2} - ( \frac{ - 1}{3} + \frac{1}{2} )x + ( \frac{ - 1}{3}) \times \frac{1}{2} \\ {x}^{2} - \frac{1}{6} x - \frac{1}{6} \: .\blue{\mathfrak{\underline{\large{Answer}}}} \\ \\ \red{\mathfrak{‹\underline{\large{Hope \: It \: Helps \: You}}}›} \\ \blue{\mathfrak{‹\underline{\large{Mark \: Me \: Brainliest}}}›}$