How do you factor x squared minus 12 x plus 36?

Answer 1

x^(2) - 12x + 36

Look for two factors of '36', that add/subtract to '12'. ;-

1,36 ; 2,18; 4,9; 6,6.

The last pair 6 & 6 add to ;12;

Hence

(x 6 )(x 6)

Which signs????

Since '36' is positive(+), then both the signs are the same. They can be both negative , or both positive.

Since the sign in '12x' is hegative then they are both negative.

Hence

(x - 6)(x - 6) Done!!!!!

Answer 2

x squared minus 12 x plus 36 = (x - 6)(x - 6)