Question

What is the quadratic polynomial whose two zeroes are -2 and 1 upon 2​

Answer 1

Step-by-step explanation:

$\alpha = - 2 \\ \beta = \frac{1}{2} \\ {x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ = {x}^{2} - ( - 2 + \frac{1}{2} )x + ( - 2 \times \frac{1}{2} ) \\ = {x}^{2} + \frac{5}{2} x - 1 \\ = 2 {x}^{2} + 5x - 1$