Question

find the quadratic polynomial and sum of roots product of roots are (5,-1)

Answer 1

α+β=5
αβ=-1

Polynomial: x²-(α+β)x+αβ

                  =x²-5x-1

Answer 2

Acc. to the formula
${x}^{2} - ( \alpha + \beta ) + ( \alpha \beta )$
Answer will be
${x}^{2} - 5x - 1$