2.  Add the coefficients of like terms.
 Can be done vertically or horizontally.
 Example: Add and
 Vertical Method: Horizontal Method:

3.  Add the polynomials:

4.  Subtract the coefficients of like terms.
 Example:
 Subtract
 Vertical Method: Horizontal Method:

5.  Subtract the polynomials.

6.  Each term of the first must be multiplied by
each term of the second.
 Similar to multiplying large numbers by hand.
 Example:
385 -x2 +2x +4
x 24 x x-3

7.  Multiply the first polynomial by each term of
the second.
 Then, distribute and combine like terms.
 Example:

8.  Multiply

9.  Multiply the polynomials:

10.  FOIL two of the binomials first
 Then, multiply the two resulting polynomials.
 Example:

11.  Multiply

12.  Sum and Difference:
(a + b)(a – b) = a2 – b2
Example: (4n - 5)(4n + 5)
 Square of a Binomial:
(a + b) 2 = a2 + 2ab + b2
(a - b) 2 = a2 - 2ab + b2
Example: (9y – x2)2

13. (a + b) 3 = a3 + 3a2b + 3ab2 + b3
(a - b) 3 = a3 - 3a2b + 3ab2 - b3
 Examples:
 (x + 1)3
 (xy – 2)3

14.  Multiply:
 (5x + 2)2
 (3x - 2)(3x + 2)
 (2m – 3)3