How to factor x^2+8x+12

x^2+8x+12 = (x + 6) (x + 2)

X^2+8x+12

(x) (x) We know x has to appear twice

Then we say what two numbers multiplied together gets you 12 and when added together gets you 8

We know thats 2 and 6

(x 2) (x 6)

And since they are both positive ...

(x+2) (x+6)