Question

Find the quadratic polynomial whose zeros are 3-root 3 divided by 2 and 3+root 3divided by2

Answer 1

alpha+beta=3root-3+root3/2

=-3/2

alpha beta.=3root-3*root3/2

=-9/2

The quadratic polynomial is

x²-(alpha+beta)x+alphabeta

x²-3/2x+-9/2(multiply it with two-9 because it is in fraction if your not multiplying it's okay)

the quadratic polynomial is

2x²-3x-9