Question

find a quadratic polynomial whose zeroes are 2 and -1/2respectively​

Answer 1

Answer:

sum of the zeroes =alpha+beta=2+(-1/2)=4-1/2=3/2

product of zeroes=alpha×beta=2×-1/2=-2/2=-1

Qudratic polynomial:

k(x²-alpha+beta(x)+alpha×beta)=0

k(x²-3/2x+-1)=0

2x²-3x-1=0