find a quadratic equation with solutions 3 and(-5/2)
+3 and -5/2 are the roots of the equation.
this means that the quadratic equation has factors
(x-3)((x+5/2) = 0
relatively straightforward to FOIL thes binomial factors to get
x^2 + (5/2 x - 3x) -15/2 = 0
combine like terms (in the parentheses) to get
x^2 -(1/2)x -15/2 = 0