Answer:
(x - 8)(x - 3) = 0
Step-by-step explanation:
Use the AC method, multiplying the a by c, or the coefficient of x (which is 1) and the last term, 24.
1 x 24 = 24
Now list factors of 24:
1 x 24
-1 x -24
2 x 12
-2 x -12
3 x 8
-3 x -8
4 x 6
-4 x -6
Which of these factor's sums would equal -11 (the middle term)?
-3 + (-8) = -11
So replace -11x with -3 and -8:
x^2 - 3x - 8x + 24 = 0
Now factor by separating into two groups:
x^2 -3x and -8x + 24
GCF between x^2 and -3x is x. So factor x out.
x(x - 3)
GCF between -8x and 24 is 8. So factor 8 out.
-8(x - 3)
Now we have x(x - 3) - 8(x - 3)
(x - 8)(x - 3)