Create a rational function in which both numerator and denominator are 2nd degree or higher and has x intercepts at (-3,0) and (2,0).

Answer 1

(x+3)(x-2)/x^2

= (x^2+x-6)/x^2

= 1 + 1/x - 6/x^2

for x=2

1+1/2 - 6/4 = 0

for x=-3

1 -1/3 - 6/9 = 0