Question

Find a quadtuce polynomial
whose
sum and product of zeros are root2 and-3/2

Answer 1

Step-by-step explanation:

sum and product of zeros are root2 and-3/2

a1+b1 = 2

a1b1 = -3/2

quadratic polynomial ax²+bx+c = 0----------eq(1)

a1+b1 = -b/a

a1b1 = c/a

from eq(1) we get x²-(-b/a)+c/a = 0

x²-2x-3/ 2 = 0

2x²-4x-3 = 0

quadratic equation is 2x²-4x-3 = 0