oose three integers a, b, and c. (Negative numbers are welcome.) Now use a, b, and c to create a trinomial ax2+bx+c. Can you factor this trinomial? How would you create a trinomial that will factor? Solution Let us choose a=1 b=-2 c=1 x^2-2x+1 Yes this can be factored. (x-1)(x-1) (x-1)^2 One way to create a trinomial that will factor is to make b^2-4ac=0 ==> This will create a double root like we have above Another way to factor is to make sure b^2-4ac has a rational square root..