Question

1.      If α and β are the zeroes of a polynomial such that α + β = -6 and αβ = 5, then find the polynomial. ​

Answer 1

Answer:

${x}^{2} + 6x + 5$

Step-by-step explanation:

Required polynomial

${x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ \\ = {x}^{2} - ( - 6)x + 5 \\ \\ = {x}^{2} + 6x + 5$