The document discusses several methods for adding and subtracting polynomials: using algebra tiles, the horizontal method, and the vertical method. It provides examples of adding and subtracting polynomials with one and two variables. Terms with the same variables are combined by adding the coefficients. For subtraction, the signs of the terms in the subtracted polynomial are changed before adding.

2.  We will look at 3 different ways to
add polynomials:
1. Using algebra tiles
2. Horizontal method
3. Vertical method

3.  Group like terms and simplify.
 Example:
 (-x2 + 5x + 4) + (3x2 – 8x + 9)

4.  Line up like terms vertically, then add.
 Leave a space for any missing terms.
 Example:
 (3a2 + 8) + (5a – 1)

5.  Find the sum:
 (b – 10) + (4b – 3)
 (x2 – x – 2) + (7x2 – x)

6.  Just add the opposite!
Change all the signs of the subtracted
polynomial
Then add like terms
 Example:
 (y2 + 4y + 2) – (2y2 – 5y – 3)

7.  Find the difference:
 (5x2 + 4x – 1) – (2x2 – 6)

8.  Find the difference:
 (p2 + p + 3) – (-4p2 – p + 3)
 (-k + 5) – (3k2 – 6)

9.  Just like one-variable, but be EXTRA
careful grouping like terms.
 Example:
 (x2 – 2xy – y2) + (x2 + xy + y2)

10.  (2s2 – 5st – t2) – (s2 + 7st – t2)

11.  (c2 – 6d2) + (c2 – 2cd + 2d2)

12.  (-x2 + 9xy) – (x2 + 6xy – 8y2)
 (a2 – 3ab + 2b2) + (-4a2 + 5ab – b2)