Question

Find the quadratic polynomial the sum and the product of whose zeroes are 1/2 and -2.

Answer 1

Sum of the zeros is 1/2 and product of the zeros is -2.
the required equation is:
x²-(sum of the zeros)x+product of the zeros=0
or, x²-(1/2)x+(-2)=0
or, x²-x/2-2=0
or, 2x²-x-2=0

Answer 2

Sum of the zeroes = 1/2 and product of zeroes = -2
Quadratic polynomial is 
x² - (sum of the zeroes)x + (product of zeroes)
x² - x/2 - 2