This document discusses factorizing the quadratic expression 1x^2 - 2x - 24. It shows the steps of multiplying the expression by 1, finding the factors of -24, and determining that the factors that combine to give -24 are (x-6)(x+4), following the sign of the larger number. The expression is therefore factorized as (x-6)(x+4).

1. x2 - 2x - 24

2. 1x2 - 2x - 24
Multiply
-24

3. 1x2 - 2x - 24
-24
Factor
1 24
2 12
3 8
4 6

4. 1x2 - 2x - 24
Factors must combine to this
-24
Factor
1 24
2 12
3 8
4 6

5. 1x2 - 2x - 24
Sign of larger #
-24
Factor
1 24
2 12
3 8
+4 -6

6. 1x2 -2x - 24
(x )(x )
-24
Factor
+4 -6

7. 1x2 - 2x - 24
(x )(x )+ 4 - 6