Question

find the quadratic polynomial whose sum of zeros is -3/2 and the product of zeros is -1​

Answer 1

Step-by-step explanation:

let the quadratic polynomial be

ax^2+bx+c=o

given sum of roots. -b/a=-3/2

b/a=3/2=3÷-2/2÷-2=-3/2

product of roots. c/a=-1

therefore a=1

b=-3/2c=-1

substitute these values

x^2-(3/2)x-1=0

2x^2-3x-2=0