Question

form a quadratic polynomial ,the sum of whose zeroes is 0 and one zero is 5

Answer 1

req.polynomial _ x²_x+5.........

Answer 2

Let the zeroes of the quadratic polynomial be α and β
Then,α+β=0
       ⇒5+β=0
      ⇒β=-5

∴The zeroes of the polynomial = 5,-5

Product of the zeroes=(-5×5)=-25

The required quadratic polynomial
=x²-(sum of zeroes)x+(product of zeroes)
=x²-(0)x+(-25)
=x²-(0)-25
=x²-25

∴Hence,the required quadratic polynomial is x²-25.