Question

If  and  are the zeroes of a quadratic polynomial. Find the polynomial if  = - 3 and  = 2

Answer 1

$\alpha = - 3 \\ \beta = 2$

$Q = {x}^{2} - ( \alpha + \beta )x + ( \alpha \times \beta ) \\ Q = {x}^{2} - ( - 3 + 2)x + ( - 3 \times 2) \\ Q = {x}^{2} - ( - 1)x + ( - 6) \\ Q = {x}^{2} + x - 6$