Question 141051
Given: {{{x^2+14x+24}}}

The coefficient on x^2 is 1. So, in order to factor this equation, you need to find the factors of 24 that when added together, result in a sum of 14. What are the factors of 24?
1,24
2,12
3,8
4,6

What are the sums of those pairs of numbers?
25,
14
11
10

So the factors we want are 2,12

{{{x^2+14x+24}}}
{{{(x + 12)(x + 2)}}}