Question

form a quadratic polynomial whose zeroes are 1/2 and 2/3

Answer 1

Answer:

1/2

Step-by-step explanation:

Answer 2

Let the zeroes of the quadratic polynomial be α=1+2

3

,β=1−2

3

Then, a+β=1+2

3

+1−2

3

=2

αβ=(1+2

3

)×(1−2

3

)=1−12=−11

Sum of zeroes =a+β=2 Product of zeroes =αβ=−11

Then, the quadratic polynomial=x

2

−( sum of zeroes )x+ product of zeroes =x

2

−(2)x+(−11)

=x

2

−2x−11