Answer:
(x + 12)(x + 2)
Step-by-step explanation:
In order to factorize, we first have to break the term in the middle into two terms which add up to 14 and and multiply to 24.
For this, let's take a look at the factor pairs of 24. We have (1, 24), (2,12), (3, 8), (4, 6).
note that the 2nd pair works. 2 + 12 = 14, 2*12 = 24.
And now we rewrite the expression.
x^2 + 14x + 24
= x^2 + 12x + 2x + 24
Take out common factors as below
= x(x + 12) + 2(x + 12)
Note that (x+12) is a common factor in the 2 added expressions. So we take it out.
= (x+12)(x+2)
Done!!! Hope it helps, and if it does, please mark me brainliest...
