I'll use the AC method
1. Multiply 4 by 6, get 24.
2. Break up 24 every possible way.
3. Since the last term -6 is negative,
write the difference of the two factors of 24.
[Had it been positive we would have written the
sum of them]
24 = 24×1, 24-1=23
24 = 12×2, 12-2=10
24 = 8×3, 8-3=5
14 = 6×4, 6-4=2
Look among the differences for the coefficient of
x (in absolute value in case it were negative)
We see that 8-3=5 and the coefficient of x is 5.
So we know to break 5x up as +8x-3x
4x²+8x-3x-6
Factor 4x out of the first two term.
Factor -3 out of the last two terms:
4x(x+2)-3(x+2)
Factor out common factor (x+2)
(4x-3)(x+2)
Edwin
