Answer
$a=1$
$b=1$
$c=-6$
Work Step by Step
Given:
$ax^{2} + bx + c$
$x=-3$
$x=2$
Use the reverse zero factor property and equate the solns -3 and 2 by 0
$x=-3$
$x+3=0$
$x=2$
$x-2=0$
Multiply the 2 equations to find the quadratic equation of the solutions
$(x+3) (x-2)=0$
$x^{2}+x-6=0$
Notice the similarities of the quadratic equation and identify the values of a, b, and c by just observing the values
$ax^{2} + bx + c$
$x^{2}+x-6=0$
$a=1$
$b=1$
$c=-6$
