1. 5.3 Adding Polynomials

2. Adding Polynomials with Algebra Tiles
We can use algebra tiles to model an addition sentence.
(3s2 + 2s – 6) + (-s2 – 2s + 1)
Combine the tiles and group the matching tiles.

3. Remove the zero pairs.
The remaining tiles are:
They represent 2s2 - 5

4. Adding polynomials Symbolically
Add: (3c2 + 5c – 6) + (2c2 – 3c + 4)
Remove the brackets.
= 3c2 + 5c – 6 + 2c2 – 3c + 4
Group like terms.
= 3c2 + 2c2 + 5c – 3c – 6 +4
Add the coefficients of like terms.
= 5c2 + 2c - 2

5. Determining a polynomial for the perimeter of a rectangle
Write a polynomial for the perimeter of the rectangle.
The perimeter is the sum of all 4 sides.
(2x + 1) + (2x + 1) + (3x + 2) + (3x + 2)
= 10x + 6
2x + 1
3x + 2

6. Adding polynomials in 2 variables
(2a2 + a – 3b – 7ab + 3b2) + (-4b2 + 3ab + 6b – 5a + 5a2) = 2a2 + a – 3b – 7ab + 3b2 - 4b2 + 3ab + 6b – 5a + 5a2 = 2a2 + 5a2 + a – 5a – 3b + 6b – 7ab + 3ab + 3b2 - 4b2 = 7a2 - 4a + 3b – 4ab – b2 = 7a2– b2 – 4ab - 4a + 3b

7. Adding Polynomials Vertically
(3m2 + m – 14) + (2m + 9)
3m2 + 1m – 14
2m + 9
3m2 + 3m – 5
Remove the brackets.
Align the like terms vertically.
The term “m” has no visible coefficient so make it 1.
Add the coefficients of the like terms.

8. Assignment:
Pg , 4, 8 odd,9 odd, 10 all, 17 all