1. 6.6 Factoring Polynomials
Difference of Two Squares
Sum of Two Cubes
Difference of Two Cubes
Quotients of Polynomials

2. Factoring Techniques Difference of Two Squares Example 1:
Check your factoring with FOIL

3. Factoring Techniques Sum of Two Cubes Example 2:
Check your factoring with FOIL
S: (1st) Same Sign
O: (2nd) Opposite Sign
A: (3rd) Always
P: (3rd) Positive

4. Factoring Techniques Difference of Two Cubes Example 3:
Check your factoring with FOIL
* S O A P *

5. Factor each polynomial. a.
Ex. 4
Factor each polynomial. a. b. c. d.
Answer:
Answer:
Answer:
Answer:

6. Quadratic Form Writing a polynomial in the form
ax2 + bx + c
Example 5: Write the expression in quadratic form. x4 + 13x2 + 36
(x2)2 + 13(x2) + 36
Example 6: Write the expression in quadratic form. 9x10 – 15x4 + 9
Can’t be written in quadratic form since x10 = (x4)2

7. Solve the equation: x4 – 29x2 + 100 = 0 Hint: Solve by Factoring
Ex. 7
Solve the equation: x4 – 29x = 0
Hint: Solve by Factoring
Answer:
x = -5, -2, 2, 5