Question 44818
Hello again!
In this case,
a = 1
b = 2
c = -15

Therefore, ac = -15.

Now, the possible pairs of numbers whose product is -15 are:

1 and -15
-1 and 15
5 and -3
-5 and 3

Now, which of these pairs add up to b, which is equal to 2? Clearly, the pair is 5 and -3, as 5 + (-3) = 2. Therefore, this trinomial can be factored. We get that:

{{{x^2 + 2x -15 = (x+5)(x-3)}}}


I hope this helps!
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