Summary of Factoring

Factoring Note

Common Factoring: 2yx²-8xy -24g Factoring a trinomial when ×-I

✗ + 9×+20 20×1
2 y (x2-4×-12) ⇒ + 5) (x + 4) 10 × 2
Diffrence of squares: ×?-9 4 × 5

- look for = x2-32
= (x + 3) (×-3) Factoring a trinomial when ✗ #I

Perfect squares:X?-10x +25 3×2-> × -6 (x-3) (3×+2)
- 1st & 3rd term must be f -(x-5) 2 3×1- 61=-18
2×-9
Grouping: 4×2-10×+6×-15 -3
¾: ×
= 2×(2*5) + 312×-5)
- (2×+3)/2×-5)


Advanced Factoring: x2-6×+9 -94 = (x2-6x.ae)-94
= (x-3)2-(g)2
Factoring tips:
= Ex-3) + y²] Ex-3)-y]
2- * I {→ (✗ + JE
l
→
= (x-3 + 5) (x-3-y)
bx C + )//