Question

Find quadratic polynomial whose sum and product are 1/6 and -1/3? Pls help me with this question

Answer 1

Answer:

6x^2 - 1x - 2

Step-by-step explanation:

$\alpha + \beta = \frac{1}{6} \: \: \: \: \: \: \: \: \alpha \beta = - \frac{1}{3} \\ = {x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ = {x}^{2} - \frac{1}{6} x - \frac{1}{3} = 0 \\ = \frac{6 {x}^{2} - 1x - 2 }{6} = 0 \\ 6 {x}^{2} - 1x - 2$