In the equation x^2 + 10x + 24 = (x + a)(x + b), b is an integer. find algebraically all possible
values of b.

They want you to factor the left side so you get  where b equals 4 or 6.  That's probably the answer they're looking for, but it's not correct.  
The right answer is found by foiling the right side so you get  and then solving for b, which gets you .  That's the correct answer.  There is an infinite number of possible values for b.

21

step-by-step explanation:

21-4