Question

find the quadratic polynomial whose zeros are 1 and 1​

Answer 1

Answer:

let the two zeros be £ and ¢

then, €+¢=1 and €.¢=1

since we know that sum of the zeros are equal to -b/a

then, €+¢=-b/a

1=-b/a

a=1, b=-1

also, we know that product of the zeros are equal to c/a

then, €.¢=c/a

1=c/a

a=1, c=1

now, standard quadratic equation

ax^2+bx+c=0

now putting the values, the ans will be

x^2-x+1=0