Step-by-step explanation:
c >= 2
that means any value of c greater or equal to 2 is a valid solution. so, yes, 2 is a solution for this.
c < 2
that means any value of c smaller than 2 is a valid solution. so, no, 2 is not smaller than 2, so it is not a solution.
c < 3
that means any value of c smaller than 3 is a valid solution. so, yes, 2 is smaller than 3, so 2 is a solution.
3 < c
that means any value of c, for that 3 is smaller, is a valid solution. our in other words, any value for c larger than 3 is a valid solution. so, no, 2 is not larger than 3, so it is not a solution.
-8 < c
that means any value of c, for that -8 is smaller, is a valid solution. our in other words, any value for c larger than -8 is a valid solution. so, yes, 2 is larger than -8, so it is a solution.
by a binomial 
, then the remainder is equal to 
.