Question

Factor the quadratic expression. x2 + 16x + 48

Answer 1

I will do my best to explain this “ x method “ I use
Basically, two factors of the first and last number must multiply together to sum up to equal the middle number
1 X 12
1 4
(x+12) (x+4)
Hope this helps!

Answer 2

x² + 16x + 48
x 12
x 4

find factors of x² and 48, that would add up to 16x

(x + 12)( x +4) is your answer, as using the FOIL method

FOIL (first, outside, inside, last)

x(x) = x²
x(4) = 4x
12(x) = 12x
12(4) = 48

x² + 4x + 12x + 48
simplify

x² + 16x + 48 (True)

you're answer is (x + 12)(x + 4)

hope this helps